Global weak solutions to equations of compressible miscible flows in porous media

被引：12

作者：

Amirat, Y. ^{[1
]}

Shelukhin, V.

机构：

[1] Univ Clermont Ferrand, CNRS, UMR 6620, Math Lab, F-63177 Clermont Ferrand, France

[2] MA Lavrentyev Hydrodynam Inst, Novosibirsk 630090, Russia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2007年 / 38卷 / 06期

关键词：

porous media; compressible miscible flows; existence;

D O I：

10.1137/050640321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the one-dimensional equations governing compressible flows of m miscible components in a porous medium. The equations are reduced to a quasi-linear parabolic system for the discharge function P and the concentrations c(i). The equations of this system are strongly coupled since the parabolic equation for c(i) contains both the second derivative c(ixx) and the second derivative P-xx. We prove global weak solvability of an initial boundary- value problem both in the Eulerian and Lagrangian formulations.

引用

页码：1825 / 1846

页数：22

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