General decay in a Timoshenko-type system with thermoelasticity with second sound-Reference-Cited by-同舟云学术

General decay in a Timoshenko-type system with thermoelasticity with second sound

Published:2015-11-01 Issue:4 Volume:4 Page:263-284
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:
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Author:

Ayadi Mohamed Ali¹,Bchatnia Ahmed²,Hamouda Makram³,Messaoudi Salim⁴

Affiliation:

1. 1UR Analyse Non-Linéaire et Géometrie, UR13ES32, Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 2092 El Manar II, Tunisia

2. 2UR Analyse Non-Linéaire et Géometrie, UR13ES32, Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 2092 El Manar II, Tunisia

3. 3Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E. 3rd St., Rawles Hall, Bloomington IN 47405, USA

4. 4Departement of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Abstract

AbstractIn this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory. Moreover, we establish an explicit and general decay result for a wide class of relaxation functions, which depend on a stability number μ.

Funder

University of Tunis El-Manar

Indiana University

KFUPM

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/4/4/article-p263.xml

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