# American Institute of Mathematical Sciences

November  2001, 1(4): 403-420. doi: 10.3934/dcdsb.2001.1.403

## Partially saturated flow in a poroelastic medium

 1 Texas Institute for Computational and Applied Mathematics, Department of Mathematics, University of Texas at Austin, Austin, TX 78712, United States 2 Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Received  April 2001 Revised  July 2001 Published  September 2001

The formulation and existence theory is presented for a system modeling diffusion of a slightly compressible fluid through a partially saturated poroelastic medium. Nonlinear effects of density, saturation, porosity and permeability variations with pressure are included, and the seepage surface is determined by a variational inequality on the boundary.
Citation: R.E. Showalter, Ning Su. Partially saturated flow in a poroelastic medium. Discrete & Continuous Dynamical Systems - B, 2001, 1 (4) : 403-420. doi: 10.3934/dcdsb.2001.1.403
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