Upper semicontinuous attractor for 2D Mindlin-Timoshenko thermoelastic model with memory

被引：11

作者：

Fastovska, Tamara ^{[1
]}

机构：

[1] Kharkov Natl Univ, Dept Math & Mech, UA-61077 Kharkov, Ukraine

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2007年 / 6卷 / 01期

关键词：

thermoelasticity with memory; global attractors; fractal dimension; upper semicontinuity;

D O I：

10.3934/cpaa.2007.6.83

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear problem for thermoelastic Mindlin-Timoshenko plate with hereditary heat conduction of Curtin-Pipkin type is considered here. We prove the existence of a compact global attractor whose fractal dimension is finite. The main aim of the work is to show the upper semicontinuity of the attractor as the relaxation time tends to zero.

引用

页码：83 / 101

页数：19

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