Finite-dimensional attractor for the viscous Cahn-Hilliard equation in an unbounded domain

被引：17

作者：

Bonfoh, A ^{[1
]}

机构：

[1] Univ La Rochelle, Lab Math Calcul Asymptot, F-17042 Nantes 01, France

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2006年 / 64卷 / 01期

关键词：

viscous Cahn-Hilliard equation; weighted Sobolev spaces; global attractor; Hausdorff dimension;

D O I：

10.1090/S0033-569X-06-00988-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the viscous Cahn-Hilliard equation in an infinite domain. Due to the noncompactness of operators, we use weighted Sobolev spaces to prove that the semigroup generated by this equation has the global attractor which has finite Hausdorff dimension.

引用

页码：93 / 104

页数：12

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