Stability of abstract thermoelastic systems with inertial terms

被引：11

作者：

Fernandez Sare, Hugo D. ^{[1
]}

Liu, Zhuangyi ^{[2
]}

Racke, Reinhard ^{[3
]}

机构：

[1] Univ Fed Juiz de Fora, Dept Math, BR-36036900 Juiz De Fora, MG, Brazil

[2] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 USA

[3] Univ Konstanz, Dept Math & Stat, D-78457 Constance, Germany

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 12期

关键词：

Exponential stability; Polynomial stability; Fourier law of heat conduction; Cattaneo law of heat conduction; Inertial term; General parameter system; PLATE EQUATIONS; EXPONENTIAL STABILITY; SMOOTHING PROPERTIES; GLOBAL EXISTENCE; DECAY; REGULARITY;

D O I：

10.1016/j.jde.2019.07.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate coupled systems of thermoelastic type in a general abstract form both modeling Fourier and Cattaneo type heat conduction. In particular we take into account a possible inertial term. A complete picture of the regions of exponential stability resp. non-exponential stability for the arising parameters (two from the type of thermoelastic system, one from the inertial term) is given. The regions of loss of exponential stability, while moving from the Fourier to the Cattaneo law, are thus clearly recognized and interestingly large. The polynomial stability in regions of non-exponential stability is also characterized. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：7085 / 7134

页数：50

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