The energy decay rate for the modified von Karman system of thermoelastic plates: An improvement

被引：7
|
作者：
Menzala, GP
Zuazua, E
机构：
[1] Natl Lab Sci Computat, LNCC, MCT, BR-25651070 Petropolis, RJ, Brazil
[2] UFRJ, Math Inst, Rio De Janeiro, Brazil
[3] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 04期
关键词：
modified von Karman system; exponential rate of decay;
D O I：
10.1016/S0893-9659(03)00032-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the energy of solutions of the modified von Karman system of a thermoelastic plate decays with the rate E(t) less than or equal to CE(0) exp(-wt/1 + E(0)) as t --> +infinity where C and w are positive constants which are independent of the solution. This improves an earlier result in which we claimed the decay rate to be of the order of exp(-wt/(1 + E-2(0)) and provides a simpler and complete proof. (C) 2003 Elsevier Science Ltd. All rights reserved.
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页码：531 / 534
页数：4
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