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：2

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 33 条

[1]

Apalara TA, 2014, ELECTRON J DIFFER EQ

[2] Long-time behavior of a quasilinear viscoelastic equation with past history [J].

Araujo, Rawlilson de Oliveira ;

Ma, To Fu ;

Qin, Yuming .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (10) :4066-4087

[3] Exponential decay rates for a full von Karman system of dynamic thermoelasticity [J].

Benabdallah, A ;

Lasiecka, I .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 160 (01) :51-93

[4]

Benabdallah A., 1998, ELECTRON J DIFFER EQ, V1998

[5]

Bisognin E, 1998, MATH METHOD APPL SCI, V21, P393, DOI 10.1002/(SICI)1099-1476(19980325)21:5<393::AID-MMA958>3.0.CO

[6]

2-J

[7]

Bouzettouta L, 2017, INT J APPL MATH STAT, V56, P153

[8] Exponential stabilization of the full von Karman beam by a thermal effect and a frictional damping and distributed delay [J].

Bouzettouta, Lamine ;

Abdelhak, Djebabla .

JOURNAL OF MATHEMATICAL PHYSICS, 2019, 60 (04)

[9]

DAFERMOS CM, 1970, ARCH RATION MECH AN, V37, P297

[10] AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS [J].

DATKO, R ;

LAGNESE, J ;

POLIS, MP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) :152-156

← 1 2 3 4 →