PARABOLIC AND DEGENERATE PARABOLIC MODELS FOR PRESSURE-DRIVEN TRANSPORT PROBLEMS

被引：8

作者：

Choquet, Catherine ^{[1
,2
]}

机构：

[1] Univ P Cezanne, LATP, UMR 6632, F-13397 Marseille 20, France

[2] Univ Savoie, LAMA, UMR 5127, FST, F-13397 Marseille 20, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 04期

关键词：

Consolidational flow; partially saturated medium; degenerate parabolic pde; hyperbolic pde; coupled system of pdes; fixed point; compensated compactness; COMPRESSIBLE MISCIBLE DISPLACEMENT; MATHEMATICAL-ANALYSIS; POROUS-MEDIA; FLUID;

D O I：

10.1142/S0218202510004337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider two models of flow and transport in porous media, the first one for consolidational flow in compressible sedimentary basins, the second one for flow in partially saturated media. Despite the differences in these physical settings, they lead to quite similar mathematical models with a strong pressure coupling. The first model is a coupled system of pde's of parabolic type. The second one involves a coupled system of pdes of degenerate parabolic-hyperbolic type. We state an existence result of weak solutions for both models.

引用

页码：543 / 566

页数：24

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