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.
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页码：11 / 32
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