Long-time behavior of a semilinear wave equation with memory

被引：3

作者：

Feng, Baowei ^{[1
]}

Pelicer, Mauricio L. ^{[2
]}

Andrade, Doherty ^{[3
]}

机构：

[1] Southwestern Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Peoples R China

[2] Univ Estadual Maringa, Dept Sci, Reg Campus Goioere, BR-87360000 Goioere, Parana, Brazil

[3] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana, Brazil

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金;

关键词：

wave equation; global attractor; memory; viscoelasticity; NONLINEAR VISCOELASTIC EQUATION; UNIFORM DECAY; GENERAL DECAY; ATTRACTORS; EXISTENCE;

D O I：

10.1186/s13661-016-0551-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the long-time dynamics of the semilinear viscoelastic equation u(tt) - Delta u(tt) - Delta u + integral(infinity)(0) mu(s)Delta u(t - s)ds + f(u) = h, defined in a bounded domain of R-3 with Dirichlet boundary condition. The functions f = f(u) and h = h(x) represent forcing terms and the kernel function mu >= 0 is assumed to decay exponentially. Then, by exploring only the dissipation given by the memory term, we establish the existence of a global attractor to the corresponding dynamical system.

引用

页码：1 / 13

页数：13

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