Periodic solutions of evolution -Laplacian equations with a nonlinear convection term.
Periodic solutions of quasilinear equations with discontinuous perturbations.
Periodic solutions to a one-dimensional strongly nonlinear wave equation with strong dissipation
Periodic Solutions to a Parabolic Equation with Hysteresis.
Periodic trajectories for evolution equations in Banach spaces.
Periodic traveling waves for a nonlocal integro-differential model.
Perona-Malik equation: properties of explicit finite volume scheme
The Perona–Malik nonlinear parabolic problem, which is widely used in image processing, is investigated in this paper from the numerical point of view. An explicit finite volume numerical scheme for this problem is presented and consistency property is proved.
Perturbation antisymétrique et oscillations dans des équations paraboliques
L'objet de cet exposé est l'étude d'équations d'évolution de type parabolique, périodiques, que l'on pénalise par un terme linéaire, antisymétrique. Par application des méthodes de S. Schochet pour le cas hyperbolique, on obtient un développement asymptotique des solutions de telles équations. La méthode suivie consiste à étudier l'influence de fortes oscillations en temps dans des systèmes paraboliques. Cette théorie est appliquée à deux systèmes décrivant le comportement de fluides géophysiques,...
Perturbation around exact solutions for nonlinear dynamical systems : application to the perturbed Burgers equation
Problemi di regolarità hölderiana per sistemi parabolici non variazionali
Problemi parabolici a frontiera libera
Propagation of perturbations in thin capillary film equations with nonlinear diffusion and convection.
Propagation trajectorielle du chaos pour les lois de conservation scalaire
Properties of the fast diffusion equation and its multidimensional exact solutions.
Pullback permanence for non-autonomous partial differential equations.
Qualitative properties of solutions to semilinear heat equations with singular initial data.
Qualitative study of nonlinear parabolic equations: an introduction.
Quantitative concentration inequalities on sample path space for mean field interaction
We consider the approximation of a mean field stochastic process by a large interacting particle system. We derive non-asymptotic large deviation bounds measuring the concentration of the empirical measure of the paths of the particles around the law of the process. The method is based on a coupling argument, strong integrability estimates on the paths in Hölder norm, and a general concentration result for the empirical measure of identically distributed independent paths.
Quasi-linear parabolic equations with degenerate coercivity having a quadratic gradient term
Quasi-linearisation methods for a nonlinear heat equation with functional dependence.