Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales

被引：29
|
作者：
Woukeng, Jean Louis [1 ]
机构：
[1] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2010年 / 189卷 / 03期
关键词：
Homogenization; Non-monotone; Degenerated; Parabolic; Multiscale convergence; CONVERGENCE; EQUATIONS;
D O I：
10.1007/s10231-009-0112-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Multiscale homogenization of nonlinear non-monotone degenerated parabolic operators is investigated. Under a periodicity assumption on the coefficients of the operators under consideration, we obtain by means of multiscale convergence method, an accurate homogenization result. It is also shown that in spite of the presence of several time scales the global homogenized problem is not a reiterated one.
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页码：357 / 379
页数：23
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