A multiscale colloid transport model with anistropic degenerate diffusion - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Asymptotic Analysis Year : 2003

A multiscale colloid transport model with anistropic degenerate diffusion

Abstract

We consider a weakly coupled semilinear parabolic-hyperbolic system with a degenerate and anisotropic diffusion. It arises to model the evolution of a chemical or biological tracer in a porous medium. We study the well-posed- ness of the system using a L^1 theory. Then, we establish the relaxation limit as the reaction constant becomes large. We prove that the system converges to a nonlinear parabolic-hyperbolic equation that generalizes the Stefan problem. Two specificities of this paper are (i) to deal with ill-prepared initial data and (ii) with unique entropy solutions based on a precise entropy inequality.
No file

Dates and versions

hal-00694622 , version 1 (05-05-2012)

Identifiers

  • HAL Id : hal-00694622 , version 1

Cite

Mohamed Belhadj, Jean-Frédéric Gerbeau, Benoît Perthame. A multiscale colloid transport model with anistropic degenerate diffusion. Asymptotic Analysis, 2003, 34 (1), pp.41-54. ⟨hal-00694622⟩
310 View
0 Download

Share

Gmail Facebook X LinkedIn More