General Decay of Solutions of a Thermoelastic Bresse System with Viscoelastic Boundary Conditions

被引：2

作者：

Khemmoudj, Ammar ^{[1
]}

机构：

[1] Univ Sci & Technol Houari Boumedienne, Fac Math, POB 32, Algiers 16111, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2021年 / 39卷 / 06期

关键词：

Bresse system; Thermoelasticity; Relaxation function; General decay; Viscoelastic; WAVE-EQUATION; MEMORY CONDITION; KIRCHHOFF TYPE; UNIFORM DECAY; STABILIZATION; RATES; EXISTENCE; STABILITY;

D O I：

10.5269/bspm.42089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a multidimensional thermoviscoelastic system of Bresse type where the heat conduction is given by Green and Naghdi theories. For a wider class of relaxation functions, We show that the dissipation produced by the memory effect is strong enough to produce a general decay results. We establish a general decay results, from which the usual exponential and polynomial decay rates are only special cases.

引用

页码：157 / 182

页数：26

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