English

Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero

Numerical Analysis 2009-10-22 v1 Analysis of PDEs

Abstract

In this paper we consider a two-phase flow problem in porous media and study its singular limit as the viscosity of the air tends to zero; more precisely, we prove the convergence of subsequences to solutions of a generalized Richards model.

Keywords

Cite

@article{arxiv.0910.4003,
  title  = {Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero},
  author = {Robert Eymard and Marie Henry and Danielle Hilhorst},
  journal= {arXiv preprint arXiv:0910.4003},
  year   = {2009}
}