Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory

被引：18

作者：

Muñoz Rivera, Jaime E. ^{[1
]}

Qin, Yuming ^{[1
,2
]}

机构：

[1] National Laboratory for Scientific Computation (LNCC), Rua Getulio Vargas 333, Quitandinha 25651-070, Petropolis-RJ, Brazil

[2] Department of Mathematics, Henan University, Kaifeng 475001, China

来源：

Nonlinear Analysis, Theory, Methods and Applications | 2002年 / 51卷 / 01期

关键词：

Asymptotic stability - Boundary conditions - Boundary value problems - Entropy - Heat flux - Integral equations - Mathematical models - Polynomials - Theorem proving - Thermoelasticity;

D O I：

10.1016/S0362-546X(01)00810-0

中图分类号：

学科分类号：

摘要：

The global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory was presented. The global existence, uniqueness and asymptotic behavior of solution was subjected to Dirichlet-Dirichlet boundary conditions for the temperature difference and displacement. Results proved the exponential stability of small smooth solutions.

引用

页码：11 / 32

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