A new perspective of exponential stability for Timoshenko systems under history and thermal effects1-Reference-Cited by-同舟云学术

A new perspective of exponential stability for Timoshenko systems under history and thermal effects1

Published:2022-01-27 Issue:3 Volume:127 Page:217-248
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Jorge Silva Marcio A.¹,Pinheiro Sandro B.²

Affiliation:

1. Department of Mathematics, State University of Londrina, Londrina 86057-970, Paraná, Brazil

2. Department of Mathematics, State University of Maringá, Maringá 87020-900, Paraná, Brazil

Abstract

We address a Timoshenko system with memory in the history context and thermoelasticity of type III for heat conduction. Our main goal is to prove its uniform (exponential) stability by illustrating carefully the sensitivity of the heat and history couplings on the Timoshenko system. This investigation contrasts previous insights on the subject and promotes a new perspective with respect to the stability of the thermo-viscoelastic problem carried out, by combining the whole strength of history and thermal effects.

Publisher

IOS Press

Subject

General Mathematics

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