WELL-POSEDNESS AND EXPONENTIAL STABILITY FOR THE VON KARMAN SYSTEMS WITH SECOND SOUND

被引：6
|
作者：
Hanni, D. [1 ]
Djebabla, A. [1 ]
Tatar, N. [2 ]
机构：
[1] Badji Mokhtar Univ, Lab Appl Math, POB 12, Annaba 23000, Algeria
[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2019年 / 7卷 / 04期
关键词：
Stability; full von Karman beam; second sound; DAMPED TIMOSHENKO SYSTEMS; UNIFIED PROCEDURE; DEFORMABLE MEDIA; DECAY-RATES; UNIFORM STABILIZATION; CONSTRUCTION; THERMOELASTICITY; EQUATION; LIMIT; BEAM;
D O I：
10.32523/2306-6172-2019-7-4-52-65
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we consider a one-dimensional full von Karman system coupled to a heat equation modeling an expectedly dissipative effect through heat conduction controlled by Cattaneo's law. We prove the well-posedness as well as an exponential stability result of the system.
引用
收藏
页码：52 / 65
页数：14
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