Anisotropic motion of a phase interface.
Anisotropic nonlinear diffusion with absorption: Existence and extinction.
(A,O)-параболические уравнения со слабым вырождением
Approximate general solution of degenerate parabolic equations related to population genetics.
Approximation de la solution de viscosité d'un problème d'Hamilton-Jacobi.
Approximation of the viscosity solution of a Hamilton-Jacobi problem.
In this paper, a mathematical analysis of in-situ biorestoration is presented. Mathematical formulation of such process leads to a system of non-linear partial differential equations coupled with ordinary differential equations. First, we introduce a notion of weak solution then we prove the existence of at least one such a solution by a linearization technique used in Fabrie and Langlais (1992). Positivity and uniform bound for the substrates concentration is derived from the maximum principle...
Approximation of viscosity solution by morphological filters
Approximation of viscosity solution by morphological filters
We consider in all curvature equation where G is a nondecreasing function and curv(u) is the curvature of the level line passing by x. These equations are invariant with respect to any contrast change u → g(u), with g nondecreasing. Consider the contrast invariant operator . A Matheron theorem asserts that all contrast invariant operator T can be put in a form . We show the asymptotic equivalence of both formulations. More precisely, we show that all curvature equations can be obtained...
Asymptotic analysis of the -laplacian flow in an exterior domain
Asymptotic behavior of solutions of a periodic diffusion equation.
Asymptotic behavior of solutions to a reaction-diffusion system with a cross diffusion matrix on unbounded domains.
Asymptotic behaviour of solutions for porous medium equation with periodic absorption.
Asymptotic behaviour of solutions of a nonlinear transport equation.
Asymptotic behaviour of the porous media equation in an exterior domain
Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion.
Asymptotic representations for solutions of bisingular problems.
Attracteurs compacts pour des problèmes d'évolution sans unicité
Attractors for a class of doubly nonlinear parabolic systems.
Averaging for non-periodic fully nonlinear equations.
Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
We establish the existence, uniqueness and main properties of the fundamental solutions for the fractional porous medium equation introduced in [51]. They are self-similar functions of the form with suitable and . As a main application of this construction, we prove that the asymptotic behaviour of general solutions is represented by such special solutions. Very singular solutions are also constructed. Among other interesting qualitative properties of the equation we prove an Aleksandrov reflection...