Multiscale homogenization of nonlinear hyperbolic-parabolic equations

被引：0

作者：

Abdelhakim Dehamnia

Hamid Haddadou

机构：

[1] École Normale Supérieure,Laboratory of Physics Mathematics and Applications

[2] École Nationale Supérieure d’Informatique (ESI ex INI),LCSI Laboratory

来源：

Applications of Mathematics | 2022年 / 68卷

关键词：

nonlinear hyperbolic-parabolic equation; homogenization; multiscale convergence method; 35B27; 35B40; 34M10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The main purpose of the present paper is to study the asymptotic behavior (when ε → 0) of the solution related to a nonlinear hyperbolic-parabolic problem given in a periodically heterogeneous domain with multiple spatial scales and one temporal scale. Under certain assumptions on the problem’s coefficients and based on a priori estimates and compactness results, we establish homogenization results by using the multiscale convergence method.

引用

页码：153 / 169

页数：16

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