Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type

被引：5
|
作者：
Qin, YM [1 ]
Rivera, JEM
机构：
[1] Donghua Univ, Coll Sci, Dept Math Appl, Shanghai 200051, Peoples R China
[2] Henan Univ, Dept Math, Kaifeng 475001, Peoples R China
[3] Natl Lab Sci Computat, BR-25651070 Petropolis, RJ, Brazil
来源：
JOURNAL OF ELASTICITY | 2004年 / 75卷 / 02期
关键词：
nonlinear hyperbolic thermoelasticity; global existence; exponential stability; strongly positive definite kernel;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we prove the global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially. Moreover, the global solution, together with its the third-order full energy, is exponentially stable for any t > 0.
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页码：125 / 145
页数：21
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