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
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
收藏
页码:1825 / 1846
页数:22
相关论文
共 50 条