Asymptotic stability and global existence in thermoelasticity with symmetry

被引：36

作者：

Jiang, S ^{[1
]}

Rivera, JEM

Racke, R

机构：

[1] Univ Bonn, Inst Angew Math, D-5300 Bonn, Germany

[2] Inst Appl Phys & Computat Math, Beijing, Peoples R China

[3] Natl Lab Sci Computat, Rio De Janeiro, Brazil

[4] Fed Univ Rio De Janeiro, Rio De Janeiro, Brazil

[5] Univ Constance, Fac Math, D-7750 Constance, Germany

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1998年 / 56卷 / 02期

关键词：

two- and three-dimensional thermoelasticity; radial symmetry; exponential decay; global existence;

D O I：

10.1090/qam/1622566

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First we prove an exponential decay result for solutions of the equations of linear, homogeneous, isotropic thermoelasticity in bounded regions in two or three space dimensions if the rotation of the displacement vanishes. As a consequence, we describe the decay in radially symmetrical situations, and in a cylinder in R-3. Then we establish the global existence of solutions to the corresponding nonlinear equations for small smooth initial data and a certain class of nonlinearities.

引用

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页码：259 / 275

页数：17

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