Nonlinear double porosity models with non-standard growth

被引：1

作者：

Choquet, Catherine ^{[1
,2
]}

Pankratov, Leonid ^{[3
]}

机构：

[1] Univ P Cezanne, LATP UMR 6632, F-13397 Marseille 20, France

[2] Univ Savoie, Delegat CNRS LAMA UMR 5127, FST, F-13397 Marseille 20, France

[3] Inst Low Temp Phys, Div Math, UA-310164 Kharkov, Ukraine

来源：

COMPTES RENDUS MECANIQUE | 2009年 / 337卷 / 9-10期

关键词：

Fluid mechanics; Homogenization; Double porosity; Non-standard growth; ELLIPTIC-EQUATIONS; HOMOGENIZATION; REGULARITY;

D O I：

10.1016/j.crme.2009.09.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the solutions to quasilinear elliptic equations with high contrast coefficients. The energy formulation leads to work with variable exponent Lebesgue spaces L-P epsilon(.) in domains with a complex microstructure scaled by a small parameter epsilon. We derive rigorously the corresponding homogenized problem. It is completely described in terms of local energy characteristics of the original domain. To cite this article: C. Choquet, L. Pankratov, C R. Mecanique 337 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：659 / 666

页数：8

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