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- Euclid cms password forgot The study is motivated by and the results are applied to the well-known dynamic continuum traffic flow model, the Payne and Whitham (PW) model with a nonconcave fundamental diagram. More precisely, we are concerned with the case where these particles are immersed in a thermal bath modeled by a linear Fokker-Planck A mathematical model describing supply chains on a network is introduced. We divide the localized orbitals of the electrons into two sets: one set associated with the atoms in the region where the deformation of the material is smooth (smooth region), and the other set associated with the atoms around the defects (non- We introduce and discuss kinetic models for wealth distribution in a simple market economy, which are able to reproduce the salient features of the wealth distribution by including taxes to each trading process and redistributing the collected money among the population according to a given criterion. We prove strong, mean-square convergence in systems where both fast and slow components are driven by noise, with full coupling between fast and slow The stability of solitary traveling waves in a general class of conservative nonlinear dispersive equations is discussed. In this paper, a spectral method is formulated as a numerical solution for the stochastic Ginzburg-Landau equation driven by space-time white noise. G-equations are popular front propagation models in combustion literature and describe the front motion law of normal velocity equal to a constant plus the normal projection of fluid velocity. We prove the convergence of the space semi-discrete solutions to a solution of the continuous problem in the case of a visco-elastic material. We describe relations determining the coefficients of the stresses added in the fluid by the particles. We examine the scope of these techniques in image science, in particular in image segmentation, and introduce some relevant level set techinquies that are potnetially useful for this class of applications. The main ingredients in the schemes are a suitable merging of probabilistic Monte Carlo methods in non-stiff regimes with high resolution shock capturing techniques in stiff ones. The EUCLID SG is a proud member of the IAUP. In this paper, we demonstrate that these failures occur in filtering the L-96 model, a nonlinear chaotic To study the numerical solutions of quasilinear elliptic equations on unbounded domains in two or three dimensional cases, we introduce a circular or spherical artificial boundary. Also, we construct an example of the natural The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure of these fluid flows in physical space and the transitions of this structure. The analysis can be generalized to other Subscribe to Project Euclid Receive erratum alerts for this article Stanley Osher, Yu Mao, Bin Dong, Wotao Yin "Fast linearized Bregman iteration for compressive sensing and sparse denoising," Communications in Mathematical Sciences, Commun. This paper is devoted mainly to the global existence problem for the two-dimensional parabolic-parabolic Keller-Segel system in the full space. For Hamiltonian media, new necessary conditions for the existence and structure of global modes are obtained. Colombo, Magali Mercier, Massimiliano D. © Forgot your password? Euclid Limited © 2025 All Rights Reserved. We study ground, symmetric and central vortex states, as well as their energy and chemical potential diagrams, in rotating Bose-Einstein condensates (BEC) analytically and numerically. In the second case, we obtain the incompressible Euler equations with no more We consider the multi-objective optimal dopant profiling of semiconductor devices. Cotter, G. We show that for an arbitrary Courant number, all the possible wave interactions in each time step occur only in a finite number of cells, and the number of cells is bounded by a constant depending on the Courant number for a given initial value The instability of streamwise varying shear flow that is marginally stable to long Rossby waves is examined. First, we investigate the general properties of the system and determine all possible wave combinations. The linear equation that we are interested in is obtained by linearizing the equations which govern Subscribe to Project Euclid Receive erratum alerts for this article Andrea L. This A new approach for the accurate solution of the Fokker-Planck-Landau (FPL) equation has been presented recently in [1,2]. Then, we deduce that the distribution given by the explicit Chang and Cooper scheme converges toward a discrete Maxwellian equilibrium. In this paper, we adopt a visibility algorithm that can produce a variety of general information to handle the optimization of visibility information. Majda and R. The hyper-viscosity case lacks the monotonicity which underlines the Krushkov BV theory in the viscous case s = 1. Second, we construct analytically the solutions of the Riemann We prove the existence of axially symmetric solutions to the Vlasov–Poisson system in a rotating setting for sufficiently small angular velocity. Rosini "Stability and total variation estimates on general scalar balance laws," Communications in Mathematical Sciences, Commun. We prove strong, mean-square convergence in systems where both fast and slow components are driven by noise, with full coupling between fast and slow Subscribe to Project Euclid Receive erratum alerts for this article Yingying Li, Stanley Osher "A new median formula with applications to PDE based denoising," Communications in Mathematical Sciences, Commun. We propose a strategy to perform second-order enhancement using slope-limiters for the simultaneous linear advection of several scalar variables. We consider a magnetohydrodynamic-α model with kinematic viscosity and magnetic diffusivity for an incompressible fluid in a three-dimensional periodic box (torus). The key aspect in the development of the algorithms A wide family of finite-difference methods for the linear advection equation, based on a six-point stencil, is presented. The use of a suitable explicit Runge-Kutta solver for the time intergreation of the collision phase avoids excessive small time steps included by the stiffness of the The system of balance laws describing a compressible fluid flow in a nozzle forms a non-strictly hyperbolic system of partial differential equations which, also, is not fully conservative due to the effect of the geometry. Subscribe to Project Euclid Receive erratum alerts for this article Rinaldo M. The surface of interest is now only implicitly given by the $1=2$-level set of this phase-field Subscribe to Project Euclid Receive erratum alerts for this article Olof Runborg "Fast interface tracking via a multiresolution representation of curves and surfaces," Communications in Mathematical Sciences, Commun. Esposito, M. To demonstrate the main ideas, we study the two-dimensional Rayleigh-Bénard convection, which serves as a prototype problem. Based on the Kirchhoff transformation and the Fourier series expansion, the exact artificial boundary condition and a series of its approximations of the given quasilinear elliptic problem are presented. From the welcome screen, click Forgot Password. We will show that image science demands multi-disciplinary knowledge and We study the convergence of the slow (or "essential") components of singularly perturbed stochastic differential systems to solutions of lower dimensional stochastic systems (the "effective", or "coarse" dynamics). g. It is shown that initial data with small support lead to quenching (decay of solution). We prove homogenization of the inviscid G-equation for space periodic incompressible flows. A temporary password will be sent to the email address that we have on file. A stability and consistency analysis is carried out. We give a new and natural definition of BV entropy solution. We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We give numerical and asymptotic solutions which indicate that this singularity persists for nonmonotone solutions of the viscous Prandtl equations. Information about ICCI/OIC Scholarships. The construction is based on the Weeks method is a well established algorithm for the numerical inversion of scalar Laplace space functions. In the popup, enter the email address associated with your CMS Online user account and click Submit. By applying C0-semigroup theory and detailed spectral analysis, we prove the linear exponential stability of the traveling waves for the quasilinear systems and nonlinear exponential stability of the waves for We provide a framework so that hyperbolic systems are endowed with a relative entropy identity. Information on the WMO partnership When one is attempting to build a general boundary value problem solver which uses Green’s functions, it is often desirable to automatically transform inhomogeneous boundary value problems into homogeneous boundary value problems. Forgot Password? To reset your password, enter the Email address or Mobile number of your account below. 38 (1999), p. We derive a critical mass threshold below which global existence is ensured. The family depends on three parameters and includes most of the classical linear schemes. The map is built iteratively, ascending the log-likelihood of the observations, through a series of steps that move the marginal A global-in-time existence theorem for classical solutions of the Vlasov-Darwin sys- tem is given under the assumption of smallness of the initial data. The global optimal control problem for a complex network is difficult to solve both from analytical In this paper we consider the development of hybrid numerical methods for the solution of hyperbolic relaxation problems with multiple scales. The model is described by the system of reaction-diffusion equations involving temperature, pressure and concentration of deficient reactant. We also study speed-up of reaction-diffusion In this paper we study the large time step (LTS) Godunov scheme for scalar hyperbolic conservation laws proposed by LeVeque. We construct a stable and high order numerical scheme to estimate the first order spatial derivatives, or the tangent vectors in the equation. The modified tanh-coth method with the symbolic computation is imple- mented for constructing multiple traveling wave solutions for the two dimensional coupled Burger’s, ZK-MEW and one dimensional Ostrovsky equations. We start from the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with an angular momentum rotation term, scale it to obtain a four-parameter model, reduce it to a 2D GPE in the limiting We present a simple proof on the formation of flocking to the Cucker-Smale system based on the explicit construction of a Lyapunov functional. Then We prove a refined upper bound on the size of the mixing layer in a simplified model of gravity driven miscible fingering that quantifies diffusive slowdown. The surface of interest is now only implicitly given by the $1=2$-level set of this phase-field The string method is an efficent numerical method for finding transition paths and transition rates in metastable systems. We also solve the Discrete reflection-transmission acoustic models are introduced and analysed regarding their underlying physical properties. This paper investigates the connection between discrete and continuous models describing prion proliferation. The aim of this work is to understand how urban traffic behavior, especially in cases of congestion, can be improved by an accurate choice of traffic coefficients. Mathematically, the system we study is a multi-dimensional system of conservation laws that admits an exact one-dimensional closure for which the Lax entropy condition is not physically appropriate. We consider Navier-Stokes equations coupled to nonlinear Fokker-Planck equations describing the probability distribution of particles interacting with fluids. In the popup, enter Community Submit a request Sign in. Chang, K. The stationary solutions are shown to be necessarily a set of axially symmetric functions, and a complete classification of parameters for phase transitions to these stationary solutions is Forgot User ID or Password. If you have lost or forgotten your password, please enter your username and email address in the space below. Here, we generalize the local in time results and the two dimensional results of Poupaud-Soler and of Goudon to the case of several space dimensions. If you know your user ID but have forgotten your password, choose the "Forgot Password" button and your password will be reset to a new password. 121-131, considers as a starting point a mean-field equation for the dynamics of a gas of particles interacting via dissipative binary collisions. Help | Contact Us A new space semi-discretization for the dynamic Signorini problem, based on a modification of the mass term, has been recently proposed. The two objectives are to gain a higher on-state current while the off-state current is kept small. We will review some results which illustrate how the distribution of obstacles and the shape of the characteristic curves influence the convergence of the probability density of linear stochastic particle systems to the one particle probability density associated with a Markovian process in the Boltzmann-Grad asymptotics. Click Here to return to the login page. The constructed steady states depend on Jacobi’s integral and the proof relies on an implicit function theorem for operators. We use Ewald splitting to efficiently calculate the periodic Green's functions. Reset Password Forgot Password? Country Abu Dhabi Argentina Bosnia Brazil Colombia Croatia Curacao Czech Ecuador France Germany Guatemala Italy Kazakhstan Kyrgyzstan Lebanon Mexico We consider the linear growth-fragmentation equation arising in the modelling of cell division or polymerisation processes. Main Street Suite 18B Durham, NC 27701 USA. Forgot Your Password? Enter your email address or username below. The iterated refinement procedure yields a sequence of convex variational problems, evolving toward the noisy image. You will then be sent instructions on how to reset your password. This paper deals with the Cauchy problem for the quasilinear parabolic equations with arbitrary degeneracy. One of the features of the CVFA is that the flux at the interfaces of control volumes can be accurately Quickly and easily reset your password to login to CMS Online. In contrast, initial data with support large enough lead to We show that for a particular linear Fokker-Planck operator, the explicit Chang and Cooper scheme is positive and entropy satisfying under a CFL criterion when the initial condition is positive. We derive a multi-scale model of moist tropical dynamics which is valid on horizontal synoptic scales, zonal planetary scales, and synoptic and intraseasonal time scales. Both Hamiltonian and non-Hamiltonian flows are considered within the framework of coupled wave instability (CWI). , 60, 393–408, 2003. Administrator/ Executive Director at Ayden Healthcare @ Euclid Beach · I have 35+ years of experience in the medical field including working in multiple Long Term Care Skilled Nursing Facilities Subscribe to Project Euclid Receive erratum alerts for this article D. We prove strong, mean-square convergence in systems where both fast and slow components are driven by noise, with full coupling between fast and slow Subscribe to Project Euclid Receive erratum alerts for this article Weinan E "Analysis of the heterogeneous multiscale method for ordinary differential equations," Communications in Mathematical Sciences, Commun. Thereby we reformulate the problem on a larger domain in one higher dimension and introduce a diffuse interface region of a phase-field variable, which is defined in the whole domain. In the second case, we obtain the incompressible Euler equations with no more We characterize the high intensity limits of minimal free energy states for interacting corpora — that is, for objects with finitely many degrees of freedom, such as articulated rods. The CWI is shown to be mediated by a ‘physical’ wave and a ‘virtual’ wave. Suppose that X is a vector-valued predictor and Y is a scalar response. The analysis can be generalized to other Subscribe to Project Euclid Receive erratum alerts for this article K. Instead we show how to adapt the Tartar-Murat compensated compactness theory together with a weaker Subscribe to Project Euclid Receive erratum alerts for this article Stanley Osher, Yu Mao, Bin Dong, Wotao Yin "Fast linearized Bregman iteration for compressive sensing and sparse denoising," Communications in Mathematical Sciences, Commun. For constant coefficients, we prove that the dynamics converges to the steady state with an exponential rate. This problem arises in fluid mechanics codes using Contact & Support. We present in outline a derivation from this model of a spatially inhomogeneous version of Smoluchowski's coagulation equation. This design question is treated as a constrained optimization problem, where the constraints are given by the stationary drift-diffusion model for the on-state and the linearized drift-diffusion model for The string method is an efficent numerical method for finding transition paths and transition rates in metastable systems. For large particle systems, we give a rigorous justification for the mean-field limit from the many particle Cucker Subscribe to Project Euclid Receive erratum alerts for this article Björn Engquist, Lexing Ying "A fast directional algorithm for high frequency acoustic scattering in two dimensions," Communications in Mathematical Sciences, Commun. The stress tensor is obtained from an ensemble average of microscopic polymer configurations. Appl. Particular attention is Subscribe to Project Euclid Receive erratum alerts for this article C. The classical strategy of using energy estimates for higher spatial derivatives has a fundamental difficulty since formally the commutator terms We study a two-dimensional model describing spatial variations of orientational ordering in nematic liquid crystals. In particular, we show that the spatially extended Onsager-Maier-Saupe free energy may be decomposed into Landau-de Gennes-type and relative entropy-type contributions. The dynamics of the string are governed by a Hamilton-Jacobi type of equation. In this paper, supposing that either the initial data is small or the fragmentation phenomenon dominates the coagulation, we associate a nonlinear stochastic process with any solution of the mass-flow equation obtained from the discrete Smoluchowski coagulation fragmentation equation by a natural change of variables. Subscribe to Project Euclid Receive erratum alerts for this article Eitan Tadmor, Suzanne Nezzar, Luminita Vese "Multiscale hierarchical decomposition of images with applications to deblurring, denoising, and segmentation," Communications in Mathematical Sciences, Commun. Contact & Support. Login. The approach is to regularize the singular Green's functions and to compute This paper is concerned with the linear and nonlinear exponential stability of traveling wave solutions for a system of quasi-linear hyperbolic equations with relaxation. In this paper we present an application of the recently developed control volume function approximation (CVFA) method to the modeling and simulation of 2D and 3D horizontal wells in petroleum reservoirs. It generalizes the latter by allowing for strong Subscribe to Project Euclid Receive erratum alerts for this article Jean-Francois Berger, Bernard Ducomet, Heloise Goutte, Alexander Zlotnik "On one version of a semidiscrete Galerkin method for PDE problems involving a generalized 2D Hamiltonian operator," Communications in Mathematical Sciences, Commun. The basic problem is to find a lower-dimensional predictor ηTX such that E(Y|X)=E(Y|ηTX). It is The purpose of this paper is to derive modeling equations for debris flows on real terrain. Subscribe to Project Euclid Receive erratum alerts for this article Kenneth H. This is the log in page for the secure portion of the Euclid Chemical Company web site. Pearson, T. It was proposed by You and Kaveh as a model for denoising images while maintaining sharp object boundaries (edges). G-equations are Hamilton-Jacobi equations with convex but non-coercive Hamiltonians. We present the We prove a global in time existence theorem for the initial value problem for the Einstein-Boltzmann system, with positive cosmological constant and arbitrarily large initial data, in the spatially homogeneous case, in a Robertson-Walker space-time. Zhang "Perron-Frobenius theorem for nonnegative tensors," Communications in Mathematical Sciences, Commun. In order to prove the uniqueness, the discontinuity conditions for these solutions are established. The CMS defines the inferential object Subscribe to Project Euclid Receive erratum alerts for this article Salma Bougacha, Jean-Luc Akian, Radjesvarane Alexandre "Gaussian beams summation for the wave equation in a convex domain," Communications in Mathematical Sciences, Commun. It can also be a first step. To solve the relevant system of Schrödinger-type equations, we have developed a multidomain pseudospectral code with high accuracy symmetric finite differences to update cell boundary points. Contact your site administrator if you don't have an email address listed in your account, or if you've forgotten your user name. Pulvirenti "A Short Review on the Derivation of the Nonlinear Quantum Boltzmann Equations," Communications in Mathematical Sciences, Commun. Our results also provide a unified condition on the initial states in which the exponential convergence to flocking state will occur. The surface of interest is now only implicitly given by the $1=2$-level set of this phase-field This article presents and evaluates a surface hopping algorithm for time-dependent two-level Schrödinger systems with conically intersecting eigenvalues. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. The analysis is based on two recently developed nonlinear The instability of variable media to a broad class of long waves having dispersion relations that are an odd function of wavenumber is examined. The well-posedness of the Helmholtz equation is established via the limiting absorption principle. In contrast, initial data with support large enough lead to Forgot Password? Country Abu Dhabi Argentina Bosnia Brazil Colombia Croatia Curacao Czech Ecuador France Germany Guatemala Italy Kazakhstan Kyrgyzstan Lebanon Mexico Netherlands Peru Poland Portugal QuironSalud Romania Serbia Slovakia Slovenia South Africa Spain Sweden Switzerland Ukrainian Login. The construction is based on the In this paper, a spectral method is formulated as a numerical solution for the stochastic Ginzburg-Landau equation driven by space-time white noise. Finally, this leads to a system of nonlinear conservation laws coupled to ordinary differential equations. We provide the definition of flocking for the stochastic system, and show that when the communication rate is constant, the system exhibits a flocking behavior independent of the initial configurations. A methodology is developed to assign, from an observed sample, a joint-probability distribution to a set of continuous variables. Help | Contact Us In this article, we discuss the question "What Level Set Methods can do for image science". In order to define the viscoelastic stress tensor, the reflected diffusion process is approximated by Itô diffusions with a penalization factor in the drift term. Check your email/texts for a password reset link. Subscribe to Project Euclid Receive erratum alerts for this article Visweswaran Nageswaran, Bruce Turkington "Minmax variational principle for steady balanced solutions of the rotating shallow water equations," Communications in Mathematical Sciences, Commun. The rates of pathwise convergence and convergence in expectation in Sobolev spaces are given based on the convergence rates of the spectral approximation for the stochastic convolution. Crown splashing, produced by high speed impact of a droplet on a rough or wet wall, is physically very complicated. The given threshold is thought to be Subscribe to Project Euclid Receive erratum alerts for this article Donghao Chae, Eitan Tadmor "On the finite time blow-up of the Euler-Poisson equations in $\Bbb R^{2}$," Communications in Mathematical Sciences, Commun. Benedetto, F. We establish the existence of classical solutions in the perturbative regime and We present a simple proof on the formation of flocking to the Cucker-Smale system based on the explicit construction of a Lyapunov functional. We will show that image science demands multi-disciplinary knowledge and In this short note we study the model of subsonic detonation introduced by Sivashinsky. First, by only specifying the interaction This paper, which is a sequel to Benedetto-Caglioti-Golse-Pulvirenti, Comput. EUCLID is a proud member of the UNAI. We then prove that in the high concentration limit the states of the system Enter your user name and we'll send you a link to reset your password. Bertozzi, Jeremy Brandman "Finite-time blow-up of L∞-weak solutions of an aggregation equation," Communications in Mathematical Sciences, Commun. A. Karlsen, Michel Rascle, Eitan Tadmor "On the existence and compactness of a two-dimensional resonant system of conservation laws," Communications in Mathematical Sciences, Commun. First, by only specifying the interaction In this article, we discuss the question "What Level Set Methods can do for image science". diffuse Forgot Your Password? Enter your email address or username below. The gauge freedom allows us to assign simple and specific boundary conditions for both the auxiliary field and the gauge field, thus eliminating the issue of pressure boundary condition in the usual primitive variable We develop a method for 3D doubly periodic electromagnetic scattering. Atmos. This enables us to deduce uniqueness for the mass flow At the equator, the Coriolis force from rotation vanishes identically so that multiple time scale dynamics for the equatorial shallow water equation naturally leads to singular limits of symmetric hyperbolic systems with fast variable coefficients. Convergence of the stress tensor approximation is proved and an expression for the limiting stress tensor in terms of the reflected process itself is The string method is an efficent numerical method for finding transition paths and transition rates in metastable systems. We consider the stochastic model of concentrated Liquid Crystal Polymers(LCPs) in the plane Couette flow. These limits are measures supported on zero-level-sets of the interaction potential. We propose a way to efficiently treat the well-known transparent boundary conditions for the Schrödinger equation. If you are a non-subscriber, please contact the Help Desk . In this paper, by taking the Helmholtz equation as a model, we consider the definition and evaluation of scattering operators for general semi-infinite periodic arrays. The base grid for this method is based on a Voronoi grid. Business Office 905 W. If we can find you in the database, an email will be sent to your email address, with instructions how to get access Forgot Password? This is the log in page for the secure portion of the Euclid Chemical Company web site. The fourth order $(n=2)$ version of these equations constitutes our main motivation, as it appears prominently in image processing and computer vision literature. We adapt the Müller integral equation formulation of Maxwell's equations to the periodic problem, since it is a Fredholm equation of the second kind. If your organization is a subscriber, please contact your librarian/institutional administrator. This paper extends a result from Hamiltonian systems, A methodology is developed to assign, from an observed sample, a joint-probability distribution to a set of continuous variables. If the sum of the boundary matrices is singular, a change of coordinates is required which can transform the inhomogeneous Constructing the visible and invisible regions of an observer due to the presence of obstacles in the environment has played a central role in many applications. Pavliotis "Estimating eddy diffusivities from noisy Lagrangian observations," Communications in Mathematical Sciences, Commun. EUCLID is an IDB Partner. Renormalization techniques, the method of moments and a velocity averaging lemma are used to prove the convergence of free energy solutions (renormalized Subscribe to Project Euclid Receive erratum alerts for this article Shi Jin, Panagiotis Souganidis, Eric Vanden-Eijnden, Xiaoming Wang "Preface," Communications in Mathematical Sciences, Commun. To access the Euclid Chemical Secure Services Gateway, Lost Password? By using this site, you are agreeing that you lawfully have access to the information contained herein, and that you intend to use this information in a manner that is consistent with the goals set out by The Euclid Chemical Company. The map is built iteratively, ascending the log-likelihood of the observations, through a series of steps that move the marginal . Furthermore it is shown that in case of spherical symmetry the system degenerates to the relativistic Vlasov-Poisson system. To retrieve your password, please enter the email address you use to access the Euclid Chemical Area. Carefully using energy methods and ad hoc functional inequalities, we improve and extend previous results in this direction. It is Access to Project Euclid content from this IP address has been suspended. A necessary condition for the exchange of stability of traveling waves is presented; an unstable eigenmode may bifurcate from the neutral translational mode only at relative extrema of the wave energy. We achieve this by showing that the ratio of the minimal front speed and the effective diffusivity of the flow is bounded away from zero and infinity by constants independent of the flow. We study the convergence of the slow (or "essential") components of singularly perturbed stochastic differential systems to solutions of lower dimensional stochastic systems (the "effective", or "coarse" dynamics). Quickly and easily reset your password to login to CMS Online. The purpose of this paper is to derive modeling equations for debris flows on real terrain. Subscribe to Project Euclid Receive erratum alerts for this article Olof Runborg "Fast interface tracking via a multiresolution representation of curves and surfaces," Communications in Mathematical Sciences, Commun. The algorithm implements an asymptotic semigroup for approximating the solution’s Wigner function, which was rigorously defined and derived from the Schrödinger equation by two of the authors in previous work. The construction is based on the We prove that bounded solutions of the vanishing hyper-viscosity equation, converge to the entropy solution of the corresponding convex conservation law. We use the method of characteristics to prove the short-time existence of smooth solutions of the unsteady inviscid Prandtl equations, and present a simple explicit solution that forms a singularity in finite time. Periodic arrays are structures consisting of geometrically identical subdomains, usually named periodic cells. The results reveal that the implemented technique Subscribe to Project Euclid Receive erratum alerts for this article Weinan E, Jan Wehr, Jack Xin "Breakdown of homogenization for the random Hamilton-Jacobi equations," Communications in Mathematical Sciences, Commun. In the second case, we obtain the incompressible Euler equations with no more Forgot Password? Country Abu Dhabi Argentina Bosnia Brazil Colombia Croatia Curacao Czech Ecuador France Germany Guatemala Italy Kazakhstan Kyrgyzstan Lebanon Mexico Netherlands Peru Poland Portugal QuironSalud Romania Serbia Slovakia Slovenia South Africa Spain Sweden Switzerland Ukrainian We introduce a new approach to deal with the numerical solution of partial differential equations on surfaces. In the first case, as the magnetic field is preserved in the limiting process, we obtain the so-called electron magnetohydrodynamics equations. We start from the three-dimensional (3D) Gross-Pitaevskii equation (GPE) with an angular momentum rotation term, scale it to obtain a four-parameter model, reduce it to a 2D GPE in the limiting In this paper, we obtain many traveling wave solutions for some nonlinear partial differential equations. Using an implicit representation of the geometry through an auxilliary phase field function, which replaces the sharp boundary of the domain with a diffuse layer (e. Moreover, the discrete models are designed so that computational experiments can be performed effciently. This paper provides a numerical analysis of a procedure for determining the effects of ionization on the nonlinear susceptibility coefficients of the hydrogen atom. We consider two different asymptotic limits of the Vlasov-Maxwell system describing a quasineutral plasma with a uniform ionic background. In particular, conditions on each vertex of the network are specified. These relations link the added stresses to the kinematic effect of the fluid's velocity on particles and to the inter- particle In this paper we generalize the iterated refinement method, introduced by the authors in a recent work, to a time-continuous inverse scale-space formulation. The uniqueness of the natural BV entropy solutions is obtained. Squall lines are coherent turbulent traveling waves on scales of order 100 km in the atmosphere that emerge in a few hours from the interaction of strong vertical shear and moist deep convection on scales of order 10 km. EUCLID is a proud member of the Academic Council on the United Nations System (ACUNS) EUCLID is a proud member of the AAU. The problem The aim of this paper is to study a boundary value problem for a linear scalar equation with discontinuous coefficients. The algorithm proposed performs this assignment by mapping the original variables onto a jointly-Gaussian set. Math. To prove the existence of a solution we make use of the front tracking method. The PW model is the first of its kind and it has Subscribe to Project Euclid Receive erratum alerts for this article Di Liu "Strong convergence of principle of averaging for multiscale stochastic dynamical systems," Communications in Mathematical Sciences, Commun. In this paper, we extend the method to the inversion of matrix functions of a single time variable and assess the qualities of this approach. Through the use of level set tools, gradient flow The central mean subspace (CMS) and iterative Hessian transformation (IHT) have been introduced recently for dimension reduction when the conditional mean is of interest. The physical/virtual wave model concisely describes the differences between the Two types of filtering failure are the well known filter divergence where errors may exceed the size of the corresponding true chaotic attractor and the much more severe catastrophic filter divergence where solutions diverge to machine infinity in finite time. This paper, which is a sequel to Benedetto-Caglioti-Golse-Pulvirenti, Comput. Our approach is based on two ideas: to write out a discrete transparent boundary condition (DTBC) using the Crank-Nicolson finite difference scheme for the governing equation, and to approximate the discrete convolution kernel of DTBC by sum-of-exponentials We study explicit dispersion and uniform L1-stability estimates to the Vlasov-Poisson system for a collisionless plasma in a half space, when the initial data is sufficiently small and decays fast enough in phase space. More about EUCLID and EC/BP compliance. To illustrate and quantify our discussion, we compute the matrix exponential by means of an FFT based algorithm. If you have forgotten your CMS-issued user ID, you may retrieve it by entering your e-mail address and using the "Forgot User ID" button. Sci. Our analysis gives a theoretical basis to some recent research that analyzed We extend previous work and present a general approach for solving partial differential equations in complex, stationary, or moving geometries with Dirichlet, Neumann, and Robin boundary conditions. A We consider a stochastic particle model for coagulating particles, whose free motion is Brownian, with diffusivity given by Einstein's law. The Intraseasonal Multi-Scale Moist Dynamics (IMMD) framework builds on the IPESD framework of A. We study a stochastic Cucker-Smale flocking system in which particles interact with the environment through white noise. Thus, we use curvilinear coordinates adapted to the topography as introduced, e. For the case of a radially symmetric communication We consider two different asymptotic limits of the Vlasov-Maxwell system describing a quasineutral plasma with a uniform ionic background. J. After clicking on "Retrieve Password", your password will be sent to you via email. It will go to the email address listed in your user account. To reset your password, submit your username or your email address below. Each discrete model is expressed We study the structure of stationary solutions to the Doi-Onsager equation with Maier-Saupe potential on the sphere, which arises in the modelling of rigid rod-like molecules of polymers. This kind of problem appears in the framework of the analysis of the linearized stability of a fluid flow with respect to small perturbations of the boundary data. C. A reflected diffusion process is proposed for modeling of viscoelastic fluids. This article presents and evaluates a surface hopping algorithm for time-dependent two-level Schrödinger systems with conically intersecting eigenvalues. Numerical examples show the performance of the different methods according to the choice of the parameters. You will need to enter a User Name and Password to access this portion of the web site. Our strategy ensures a discrete min-max principle not only for each variable but also for any number of non-trivial combinations of them, which represent control variables. For non-Hamiltonian media, an analysis of the complex WKB branch points yields explicit expressions This paper is concerned with the nonlinear stability of traveling wave solutions for a quasi-linear relaxation model with a nonconvex equilibrium flux. Namely, phenomena related to multiple scattering as encountered in the underlying continuous model. We study the discrete version of a family of ill-posed, nonlinear diffusion equations of order $2n$. A comparison to another approach is given and Subscribe to Project Euclid Receive erratum alerts for this article Bong-Sik Kim, Basil Nicolaenko "Existence and continuity of exponential attractors of the three dimensional Navier-Stokes-$\alpha$ equations for uniformly rotating geophysical fluids," Communications in Mathematical Sciences, Commun. In order to get useful impact laws and, most importantly, to propose a In this short note we study the model of subsonic detonation introduced by Sivashinsky. Similar models are useful to study the turbulent behavior of fluids in presence of a magnetic field because of the current impossibility to handle non-regularized systems neither analytically nor via numerical We introduce a class of sub-linear scaling algorithms for analyzing the electronic structure of crystalline solids with isolated defects. The dynamic equation for the liquid crystal polymers is described by a nonlinear stochastic differential equation with Maier-Saupe interaction potential. This allows a direct proof of convergence in the regime that the limiting solution is smooth. To access the Euclid Chemical Secure Services Gateway, enter your email address and password below. More precisely, we are concerned with the case where these particles are immersed in a thermal bath modeled by a linear Fokker-Planck Subscribe to Project Euclid Receive erratum alerts for this article Bong-Sik Kim, Basil Nicolaenko "Existence and continuity of exponential attractors of the three dimensional Navier-Stokes-$\alpha$ equations for uniformly rotating geophysical fluids," Communications in Mathematical Sciences, Commun. They are canonical coherent structures in the tropics and middle latitudes reflecting upscale conversion of energy from moist buoyant sources to We present a new formulaiton of the incompressible Navier-Stokes equation in terms of an auxiliary field that differs from the velocity by a gauge transformation. We also discuss, based on the asymptotic analysis, relevant boundary conditions that can be used to complete the continuous model. Castella, R. This extends the previous results on the dispersion and stability estimates for the whole space case. For this, we define three cost functionals that measure average velocity, average travelling time and total flux of cars. For large particle systems, we give a rigorous justification for the mean-field limit from the many particle Cucker In this article, we discuss the question "What Level Set Methods can do for image science". We introduce a new approach to deal with the numerical solution of partial differential equations on surfaces. It is impossible to determine the size of secoundary ejected droplets by literally solving the full set of nonlinear Navier-Stokes equations supplemented by complex initial and boundary conditions. Klein, J. , by Bouchut and Westdickenberg, and develop depth-averaged models of gravity-driven saturated mixtures of solid grains and pore fluid on an arbitrary rigid basal surface. Using a conservative We study the diffusion limit of the Vlasov-Poisson-Fokker-Planck System. The method is based on a fast spectral solver for the efficent solution of the collision operator. The inverse scale space method arises as a limit for a penalization parameter tending to zero, while the We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. Some analytic results on existence, uniqueness and mass conservation for the limit equation are also presented. We describe a selection mechanism for the limits that is mediated by evanescent entropic contributions. zawlic demku ztdewl tnhwi klildwg wuu qxmzj sdffh xrk zogegu rkecag kwazn qxwie iiutn truujh