Existence of smooth global attractors for nonlinear viscoelastic equations with memory

被引：10

作者：

Conti, Monica ^{[1
]}

Geredeli, Pelin G. ^{[2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

[2] Hacettepe Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2015年 / 15卷 / 03期

关键词：

Global attractors; Viscoelastic plate; Nonlinear damping; Hereditary memory; WAVE-EQUATIONS; SYSTEMS; DECAY;

D O I：

10.1007/s00028-014-0270-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the memory relaxation of an Euler-Bernoulli plate equation with nonlinear source term and internal frictional damping of arbitrary polynomial growth. The main focus is the existence of a smooth global attractor for the associated dynamical system.

引用

页码：533 / 558

页数：26

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