A general decay result for a memory-type thermoelasticity with second sound

被引：4

作者：

Messaoudi, Salim A. ^{[1
]}

Madani, Belabbas ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] ENS Laghouat, Dept Math, Laghouat, Algeria

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 08期

关键词：

thermoelasticity with second sound; general decay; relaxation function; EXPONENTIAL STABILITY; NONLINEAR THERMOELASTICITY; BOUNDARY STABILIZATION; SYSTEM;

D O I：

10.1080/00036811.2013.842230

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an n-dimensional system of thermoelasticity with second sound in the presence of a viscoelastic term acting in the domain. We prove a general decay result from which the usual exponential and polynomial decay results are only special cases.

引用

页码：1663 / 1673

页数：11

共 15 条

[1] STABILITY OF EQUILIBRIUM FOR A NONLINEAR HYPERBOLIC SYSTEM DESCRIBING HEAT PROPAGATION BY 2ND SOUND IN SOLIDS [J].

COLEMAN, BD ;

HRUSA, WJ ;

OWEN, DR .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 94 (03) :267-289

[2] Optimal rates of decay in 2-d thermoelasticity with second sound [J].

Fernandez Sare, Hugo D. ;

Munoz Rivera, Jaime E. .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)

[3]

HU Y, 2012, J PARTIAL DIFFER EQN, V25, P37

[4]

Messaoudi S. A., 2004, J. Appl. Math., V3, P201

[5] Exponential stability in one-dimensional non-linear thermoelasticity with second sound [J].

Messaoudi, SA ;

Said-Houari, B .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (02) :205-232

[6] Local existence and blow up in nonlinear thermoelasticity with second sound [J].

Messaoudi, SA .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (7-8) :1681-1693

[7] GENERAL DECAY FOR A POROUS-THERMOELASTIC SYSTEM WITH MEMORY: THE CASE OF NONEQUAL SPEEDS [J].

Messaoudi, Salim A. ;

Fareh, Abdelfeteh .

ACTA MATHEMATICA SCIENTIA, 2013, 33 (01) :23-40

[8] General Boundary Stabilization of Memory-Type Thermoelasticity with Second Sound [J].

Messaoudi, Salim A. ;

Al-Shehri, Aisha .

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (04) :441-461

[9]

Munoz Rivera J.E., 2001, Adv. Di erential Equations, V6, P359

[10] Boundary stabilization of memory-type thermoelasticity with second sound [J].

Mustafa, Muhammad I. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2012, 63 (04) :777-792

← 1 2 →