On doubly nonlinear elliptic-parabolic systems arising in coupled transport phenomena in unsaturated porous media

被引：0

作者：

Michal Beneš

Lukáš Krupička

机构：

[1] Czech Technical University in Prague,Department of Mathematics, Faculty of Civil Engineering

来源：

Nonlinear Differential Equations and Applications NoDEA | 2015年 / 22卷

关键词：

Primary 35A01; Secondary 35K61; 80A20; Initial-boundary value problems for second-order parabolic systems; Global existence of weak solutions; Coupled heat and mass transport in porous media;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider an initial-boundary value problem for a fully nonlinear degenerate parabolic system. The mathematical problem is originally motivated by coupled Richards and heat equations modelling hygro-thermal flows in unsaturated porous media and fractured rock masses. We prove a global existence of a weak solution to this problem on an arbitrary interval of time.

引用

页码：121 / 141

页数：20

共 45 条

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Frydrychowicz, W
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Transport in Porous Media, 2000, 41 : 117 - 120
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Rose, W
TRANSPORT IN POROUS MEDIA, 2000, 41 (01) : 117 - 120

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