Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings

Abstract

This paper is concerned with the long-time dynamical behavior of a piezoelectric system with magnetic effect, which has nonlinear damping terms and external forces with a parameter. At first, we use the nonlinear semigroup theory to prove the well-posedness of solutions. Then, we investigate the properties of global attractors and the existence of exponential attractors. Finally, the upper semicontinuity of global attractors has been investigated.

Keywords

• piezoelectric system
• the well posedness
• global attractor
• exponential attractors
• upper semicontinuity of attractors