Stability of solution for a mixture of thermoelastic of type III

被引：3
|
作者：
Fatori, Luci Harue [1 ]
da Silva, Rafael Prado [2 ]
机构：
[1] Univ Estadual Londrina, Dept Math, BR-86051990 Londrina, Brazil
[2] Univ Tecnol Fed Parana, Campus Cornelio Procopio, BR-86300000 Cornelio Procopio, Parana, Brazil
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 11期
关键词：
thermoelasticity type III; stability; optimality; EXPONENTIAL DECAY; DIFFUSION;
D O I：
10.1002/mma.4298
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we analyze the existence, uniqueness, and asymptotic behavior of solution to the model of a thermoelastic mixture of type III. We establish sufficient conditions to guarantee the exponential decay of solutions. When the decay is not of exponential type, we prove that the solutions decay polynomially and we find the optimal polynomial decay rate. Copyright (c) 2017 John Wiley & Sons, Ltd.
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页码：4211 / 4221
页数：11
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