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

Abstract

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.

Keywords

• timoshenko system
• well-posedness
• general decay
• stability
• 35b40
• 74f05
• 74f20
• 93d15
• 93d20