Well-posedness and energy decay for full von Ka?rma?n system of dynamic theromelasticity damped with distributed delay and past history terms

被引：1

作者：

Douib, Madani ^{[1
]}

Zitouni, Salah ^{[2
]}

Djebabla, Abdelhak ^{[3
]}

机构：

[1] Higher Coll Teachers ENS Laghouat, Dept Math, Laghouat, Algeria

[2] Souk Ahras Univ, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

[3] Annaba Univ, Fac Sci, Dept Math, POB 12, Annaba 23000, Algeria

来源：

FILOMAT | 2023年 / 37卷 / 13期

关键词：

Full von K?rm?n beam; Distributed delay; Past history; Well-posedness; Decay of solutions; VISCOELASTIC EQUATION; ASYMPTOTIC STABILITY; BOUNDARY; THERMOELASTICITY; STABILIZATION; RATES;

D O I：

10.2298/FIL2313195D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional von Karman beam is coupled to a thermal effect and frictional damping with distributed delay and past history. We first give the well-posedness of the system by using the semigroup theory. Then, we establish a decay result by introducing a suitable Lyapunov functionals.

引用

页码：4195 / 4210

页数：16

共 14 条

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