A well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms

Abstract

This paper describes a well-posedness and exponential decay of solutions for a coupled Lamé system with viscoelastic term and logarithmic source terms, where an asymptotic stability result of global solution is obtained.

Keywords:

• Lamé system
• coupled system
• Lyapunov function
• viscoelastic term
• well-posedness

1991 Mathematics Subject Classifications:

• 35L70
• 35B40
• 76Exx

Acknowledgments

The author would like to thank the referee(s) and handling editor for a number of valuable suggestions regarding a previous version of this paper.

Disclosure statement

No potential conflict of interest was reported by the authors.