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

被引：0
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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：
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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.
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页码：121 / 141
页数：20
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