SOLUTIONS TO A MODEL FOR COMPRESSIBLE IMMISCIBLE TWO PHASE FLOW IN POROUS MEDIA

被引：0
|
作者：
Khalil, Ziad [1 ]
Saad, Mazen [1 ]
机构：
[1] Ecole Cent Nantes, Lab Math Jean Leray, UMR CNRS 6629, F-44321 Nantes, France
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年
关键词：
Degenerate system; nonlinear parabolic system; compressible flow; porous media; MISCIBLE DISPLACEMENT; MATHEMATICAL-ANALYSIS; EXISTENCE; SYSTEM; FLUIDS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the existence of solutions to a nonlinear degenerate system modelling the displacement of two-phase compressible immiscible flow in a three dimensional porous media. The aim of this work is to treat the model with its general form with the whole nonlinear terms. Especially, we consider the case where the density of each phase depends on its corresponding pressure. We derive new energy estimates on velocities, saturations and pressures to treat the degeneracy of the system. A compactness result is shown for degenerate systems.
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页数：33
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