EXPONENTIAL DECAY FOR A VON KARMAN SYSTEM WITH MEMORY

被引：0
|
作者：
Santiago Ayala, Yolanda S. [1 ]
Munoz Rivera, Jaime E. [2 ,3 ]
机构：
[1] Univ Nacl Mayor San Marcos, Lima 14, Peru
[2] Lab Nacl Comp Cient, BR-25651070 Rio De Janeiro, RJ, Brazil
[3] Univ Fed Rio de Janeiro, IM, BR-21941 Rio De Janeiro, Brazil
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2004年 / 9卷 / 9-10期
关键词：
D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the Von Karman system with thermal effect. The constitutive assumptions we use for the propagation of temperature were proposed by Gurtin and Pipkin. In this case the heat conduction is independent of the present values of the temperature gradient. We show that the corresponding nonlinear system is globally well posed. Moreover, when the relaxation function which characterizes the memory effect on the temperature decays exponentially, then we show that the solution of the system also decays exponentially.
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页码：1115 / 1142
页数：28
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