Abstract
The flow of a fluid through a heterogeneous porous medium is studied, assuming it is governed by a nonlinear Darcy law and Dirichlet boundary conditions. Under a general condition on the permeability we prove that the free boundary is locally a continuous curve in some local coordinates. We also prove the uniqueness of the reservoirs-connected solution.
| Original language | English |
|---|---|
| Pages (from-to) | 55-79 |
| Number of pages | 25 |
| Journal | Interfaces and Free Boundaries |
| Volume | 6 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 2004 |
| Externally published | Yes |
ASJC Scopus subject areas
- Surfaces and Interfaces