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

Advances in Nonlinear Analysis

article

Mohamed Ali Ayadi¹  Ahmed Bchatnia¹  Makram Hamouda²  Salim Messaoudi³ 

[1] Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El-Manar;Institute for Scientific Computing and Applied Mathematics, Indiana University;King Fahd University of Petroleum and Minerals

关键词: Timoshenko system;    well-posedness;    general decay;    stability;   

DOI  :  10.1515/anona-2015-0038

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 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】

CC BY