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

页码：52 / 65

页数：14

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