A thermoelastic system of memory type in noncylindrical domains

被引：6

作者：

Fatori, Luci Harue ^{[1
]}

Ma, To Fu ^{[2
]}

机构：

[1] Univ Estadual Londrina, Dept Matemat, BR-86051990 Londrina, Parana, Brazil

[2] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 200卷 / 02期

关键词：

wave equation; thermoelastic system; memory; noncylindrical domain;

D O I：

10.1016/j.amc.2007.11.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a hyperbolic thermoelastic system of memory type in domains with moving boundary. The problem models vibrations of an elastic bar under thermal effects according to the heat conduction law of Gurtin and Pipkin. Global existence is proved by using the penalty method of Lions. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：583 / 589

页数：7

共 50 条

[1] Exponential Decay to Thermoelastic Systems over Noncylindrical Domains
Fatori, Luci Harue
Klaiber, Michelle
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 2011
[2] ON THE WAVE EQUATIONS WITH MEMORY IN NONCYLINDRICAL DOMAINS
Santos, Mauro L.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[3] On a nonlinear coupled system for the beam equations with memory in noncylindrical domains
Santos, ML
Rocha, MPC
Ferreira, J
ASYMPTOTIC ANALYSIS, 2005, 45 (1-2) : 113 - 132
[4] Asymptotic behaviour for wave equations with memory in a noncylindrical domains
Ferreira, J
Santos, MD
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2003, 2 (04) : 511 - 520
[5] Global existence and stability for a von Karman equations with memory in noncylindrical domains
Park, Jong Yeoul
Kang, Jum Ran
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (11)
[6] SOLUTION OF A SYSTEM OF ELLIPTIC EQUATIONS IN NONCYLINDRICAL DOMAINS.
Shapkina, N.E.
Moscow University computational mathematics and cybernetics, 1983, (01) : 12 - 19
[7] On the Stabilization of a Memory-Type Porous Thermoelastic System
Apalara, Tijani A.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 1433 - 1448
[8] On the Stabilization of a Memory-Type Porous Thermoelastic System
Tijani A. Apalara
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 1433 - 1448
[9] Riccati equations in noncylindrical domains
Cannarsa, Piermarco
Da Prato, Giuseppe
Zolesio, Jean-Paul
Lecture Notes in Control and Information Sciences, 1990, 147 : 148 - 155
[10] Stabilization of a new memory-type thermoelastic Timoshenko system
Enyi, Cyril Dennis
Mukiawa, Soh Edwin
Apalara, Tijani Abdul-Aziz
APPLICABLE ANALYSIS, 2023, 102 (08) : 2271 - 2292

← 1 2 3 4 5 →