MULTISCALE HOMOGENIZATION OF NONLINEAR HYPERBOLIC EQUATIONS WITH SEVERAL TIME SCALES

被引：7

作者：

Woukeng, Jean Louis ^{[1
]}

Dongo, David ^{[1
]}

机构：

[1] Univ Dschang, Fac Sci, Dept Math & Comp Sci, Dschang, Cameroon

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 03期

关键词：

hyperbolic; multiscale; nonlinear; PARABOLIC OPERATORS; CONVERGENCE; ATTRACTORS; WAVE;

D O I：

10.1016/S0252-9602(11)60281-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the multiscale homogenization of a nonlinear hyperbolic equation in a periodic setting. We obtain an accurate homogenization result. We also show that as the nonlinear term depends on the microscopic time variable, the global homogenized problem thus obtained is a system consisting of two hyperbolic equations. It is also shown that in spite of the presence of several time scales, the global homogenized problem is not a reiterated one.

引用

页码：843 / 856

页数：14

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