General decay of solutions of a linear one-dimensional porous-thermoelasticity system with a boundary control of memory type

被引：56

作者：

Soufyane, A. ^{[1
]}

Afilal, M. ^{[2
]}

Aouam, T. ^{[1
]}

Chacha, M. ^{[1
]}

机构：

[1] ALHOSN Univ, Fac Engn & Appl Sci, Abu Dhabi, U Arab Emirates

[2] Univ Cadi Ayyadl, Fac Polydisciplinaire Safi, Dept Math & Informat, Safi, Morocco

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期

关键词：

Porous-thermoelasticity systems; General decay; Lyapunov functional; Memory; Relaxation function; GLOBAL EXISTENCE; WAVE-EQUATION; STABILITY; RATES;

D O I：

10.1016/j.na.2010.01.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider linear porous-thermoelasticity systems, in a bounded domain, where the memory-type damping is acting on a part of the boundary. We establish a general decay result, for which the usual exponential and polynomial decay rates are just special cases. Our work allows certain relaxation functions which are not necessarily of exponential or polynomial decay and, therefore, generalizes and improves on earlier results from the literature. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3903 / 3910

页数：8

共 17 条

[1]

[Anonymous], 2002, J. Differ. Equ

[2] Exponential decay in one-dimensional porous-thereto-elasticity [J].

Casas, PS ;

Quintanilla, R .

MECHANICS RESEARCH COMMUNICATIONS, 2005, 32 (06) :652-658

[3]

Cavalcanti MM, 2005, DIFFER INTEGRAL EQU, V18, P583

[4] Existence and uniform decay rates of solutions to a degenerate system with memory conditions at the boundary [J].

Cavalcanti, MM ;

Cavalcanti, VND ;

Santos, ML .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (02) :439-465

[5] GLOBAL-SOLUTIONS OF THE NEUMANN PROBLEM IN ONE-DIMENSIONAL NONLINEAR THERMOELASTICITY [J].

JIANG, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (02) :107-121

[6] Null-controllability of a system of linear thermoelasticity [J].

Lebeau, G ;

Zuazua, E .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1998, 141 (04) :297-329

[7]

Liu Z., 1999, Chapman & Hall/CRC Research Notes in Mathematics, V398

[8] General decay of solutions of a wave equation with a boundary control of memory type [J].

Messaoudi, Salim A. ;

Soufyane, Abdelaziz .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2896-2904

[9] Stabilization in elastic solids with voids [J].

Pamplona, Paulo Xavier ;

Munoz Rivera, Jaime E. ;

Quintanilla, Ramon .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (01) :37-49

[10] Slow decay for one-dimensional porous dissipation elasticity [J].

Quintanilla, R .

APPLIED MATHEMATICS LETTERS, 2003, 16 (04) :487-491

← 1 2 →