Homogenization of degenerate coupled fluid flows and heat transport through porous media

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Benes, Michal¹  Pazanin, Igor² 

[1] Czech Tech Univ, Dept Math, Fac Civil Engn, Thakurova 7, Prague 16629 6, Czech Republic

[2] Univ Zagreb, Dept Math, Fac Sci, Bijenicka 90, Zagreb 10000, Croatia

关键词: Nonlinear degenerate parabolic system;    Homogenization;    Asymptotic analysis;    Two-scale convergence;    Coupled transport processes in porous media;   

DOI  :  10.1016/j.jmaa.2016.08.041

来源: Elsevier

【 摘 要 】

We establish a homogenization result for a fully nonlinear degenerate parabolic system with critical growth arising from the heat and moisture flow through a partially saturated porous media. Existence of a global weak solution of the mesoscale problem is proven by means of a semidiscretization in time, a priori estimates and passing to the limit from discrete approximations. After that, porous material exhibiting periodic spatial oscillations is considered and the two-scale convergence (as the oscillation period vanishes) to a corresponding homogenized problem is rigorously proven. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free