Analysis of Thacker's method for solving the linearized shallow water equations
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter , and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since our...
Analysis of total variation flow and its finite element approximations
We study the gradient flow for the total variation functional, which arises in image processing and geometric applications. We propose a variational inequality weak formulation for the gradient flow, and establish well-posedness of the problem by the energy method. The main idea of our approach is to exploit the relationship between the regularized gradient flow (characterized by a small positive parameter ε, see (1.7)) and the minimal surface flow [21] and the prescribed mean curvature flow [16]. Since...
Analytic approach to systems in potential models.
Analyticité locale pour les solutions de l'équation d'Euler
Apparition éventuelle de singularités dans des problèmes d'évolution non linéaires
Application of Moser's method to a certain type of evolution equations
Application of restricted Backlund transformation to linearization of second order nonlinear parabolic equation
Approximation by Finite Differences of the Propagation of Acoustic Waves in Stratified Media.
Approximation of Burgers' equation by pseudo-spectral methods
Approximation semi-classique de l'équation de Heisenberg
Asymmetric heteroclinic double layers
Let be a non-negative function of class from to , which vanishes exactly at two points and . Let be the set of functions of a real variable which tend to at and to at and whose one dimensional energyis finite. Assume that there exist two isolated minimizers and of the energy over . Under a mild coercivity condition on the potential and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at and , it is possible to prove...
Asymmetric heteroclinic double layers
Let W be a non-negative function of class C3 from to , which vanishes exactly at two points a and b. Let S1(a, b) be the set of functions of a real variable which tend to a at -∞ and to b at +∞ and whose one dimensional energy is finite. Assume that there exist two isolated minimizers z+ and z- of the energy E1 over S1(a, b). Under a mild coercivity condition on the potential W and a generic spectral condition on the linearization of the one-dimensional Euler–Lagrange operator at z+ and...
Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods
Asymptotic behavior of the ground state of large atoms
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
Asymptotic behaviour of one-dimensional flows through porous media
Asymptotic observables and Coulomb scattering for the Dirac equation
Asymptotic wave functions and energy distribution in magnetodynamics.
Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains