Rates of decay to weak thermoelastic Bresse system

被引：108

作者：

Fatori, Luci Harue ^{[1
]}

Munoz Rivera, Jaime E. ^{[2
,3
]}

机构：

[1] Univ Estadual Londrina, Dept Math, BR-86051990 Londrina, Parana, Brazil

[2] Natl Lab Sci Computat, BR-25651070 Rio De Janeiro, Brazil

[3] Univ Fed Rio de Janeiro, Dept Math, Rio De Janeiro, Brazil

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2010年 / 75卷 / 06期

关键词：

Bresse thermoelastic systems; thermoelasticity decay rate; polynomial stability; SEMIGROUPS;

D O I：

10.1093/imamat/hxq038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Bresse system with temperature and we show that there exist exponential stability if and only if the wave propagation is equal. We show that, in general, the system is not exponentially stable but that there exists polynomial stability with rates that depend on the wave propagations and the regularity of the initial data. Moreover, we introduce a necessary condition to dissipative semigroup decay polynomially. This result allows us to show some optimality to the polynomial rate of decay.

引用

页码：881 / 904

页数：24