Well-posedness and asymptotic stability for the Lamé system with internal distributed delay

Abstract

In this work, we consider the Lamé system in 3-dimension bounded domain with distributed delay term. We prove, under some appropriate assumptions, that this system is well-posed and stable. Furthermore, the asymptotic stability is given by using an appropriate Lyapunov functional.

Keywords

• Lamé system
• delay terms
• Lyapunov functions
• decay rates