DISSIPATIVE BOUSSINESQ EQUATIONS ON NON-CYLINDRICAL DOMAINS IN Rn

被引：0

作者：

Clark, Haroldo R. ^{[1
]}

Cousin, Alfredo T. ^{[2
]}

Frota, Cicero L. ^{[2
]}

Limaco, Juan ^{[1
]}

机构：

[1] Univ Fed Fluminense, IM GAN, BR-24220000 Niteroi, RJ, Brazil

[2] Univ Estadual Maringa, DMA, Maringa, Parana, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Boussinesq equation; time dependent domains; existence; uniqueness; asymptotic behavior;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the initial-boundary value problem for the nonlinear Boussinesq equations on time dependent domains in R-n with 1 <= n <= 4. Global solvability, uniqueness of solutions and the exponential decay to the energy are established provided the initial data are bounded in some sense.

引用

页数：18

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