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

Advances in Nonlinear Analysis

Messaoudi Salim¹  Hamouda Makram²  Ayadi Mohamed Ali³  Bchatnia Ahmed³ 

[1] Departement of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia;Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E. 3rd St., Rawles Hall, Bloomington IN 47405, USA;UR Analyse Non-Linéaire et Géometrie, UR13ES32, Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar, 2092 El Manar II, Tunisia;

关键词: timoshenko system;    well-posedness;    general decay;    stability;    35b40;    74f05;    74f20;    93d15;    93d20;   

DOI  :  10.1515/anona-2015-0038

来源: DOAJ

【 摘 要 】

In 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.

【 授权许可】

Unknown