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
收藏
页码：843 / 856
页数：14
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