GENERAL DECAY RATE FOR AN ABSTRACT WEAKLY DISSIPATIVE MOORE-GIBSON-THOMPSON EQUATION

被引：0

作者：

Hassan, Jamilu Hashim ^{[1
]}

Messaoudi, Salim A. ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[2] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2022年 / 34卷 / 01期

关键词：

Moore-Gibson-Thompson equation; weakly dissipative system; viscoelastic; general decay; MEMORY; 3RD-ORDER; SYSTEMS; ENERGY;

D O I：

10.1216/jie.2022.34.75

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study an abstract class of weakly dissipative Moore-Gibson-Thompson equation with finite memory. We establish a general decay rate for the solution of the system under some appropriate conditions on the relaxation function.

引用

页码：75 / 91

页数：17

共 13 条

[1] Global attractors for a third order in time nonlinear dynamics [J].

Caixeta, Arthur H. ;

Lasiecka, Irena ;

Cavalcanti, Valria N. D. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (01) :113-147

[2] On the Moore-Gibson-Thompson Equation and Its Relation to Linear Viscoelasticity [J].

Dell'Oro, Filippo ;

Pata, Vittorino .

APPLIED MATHEMATICS AND OPTIMIZATION, 2017, 76 (03) :641-655

[3] The Moore-Gibson-Thompson equation with memory in the critical case [J].

Dell'Oro, Filippo ;

Lasiecka, Irena ;

Pata, Vittorino .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (07) :4188-4222

[4] Coupled second order evolution equations with fading memory: Optimal energy decay rate [J].

Jin, Kun-Peng ;

Liang, Jin ;

Xiao, Ti-Jun .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (05) :1501-1528

[5]

Kaltenbacher Barbara, 2011, Control and Cybernetics, V40, P971

[6] MATHEMATICS OF NONLINEAR ACOUSTICS [J].

Kaltenbacher, Barbara .

EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (04) :447-491

[7] Moore-Gibson-Thompson equation with memory, part I: exponential decay of energy [J].

Lasiecka, Irena ;

Wang, Xiaojun .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (02)

[8] Moore-Gibson-Thompson equation with memory, part II: General decay of energy [J].

Lasiecka, Irena ;

Wang, Xiaojun .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (12) :7610-7635

[9] New general decay results for a Moore-Gibson-Thompson equation with memory [J].

Liu, Wenjun ;

Chen, Zhijing ;

Chen, Dongqin .

APPLICABLE ANALYSIS, 2020, 99 (15) :2622-2640

[10] An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability [J].

Marchand, R. ;

McDevitt, T. ;

Triggiani, R. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (15) :1896-1929

← 1 2 →