Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity

被引：55

作者：

Marzocchi, A

Rivera, JEM

Naso, MG

机构：

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

[2] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, I-25121 Brescia, Italy

[3] Univ Brescia, Dipartimento Matemat, I-25133 Brescia, Italy

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2002年 / 25卷 / 11期

关键词：

transmission problem; thermoeleasticity; exponential decay; simultaneous stabilization; asymptotic behaviour; absorbing set;

D O I：

10.1002/mma.323

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the solution of a semilinear transmission problem between an elastic and a thermoelastic material, decays exponentially to zero. That is, denoting by E(t) the sum of the first, second and third order energy associated with the system, we show that there exist positive constants C and 7 satisfying E(t) less than or equal to CE(0)e(-gammat) Moreover, the existence of absorbing sets is achieved in the non-homogeneous case. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：955 / 980

页数：26

共 28 条

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