Well-posedness and exponential stability of solutions for piezoelectric beams under magnetic, delay and thermodiffusion effects

Abstract

In this paper, we investigate the well-posedness and the asymptotic behavior of solutions to piezoelectric beams under magnetic, delay, and thermodiffusion effects. First, we establish the existence and uniqueness of solutions by applying semigroup theory. Then, using a perturbed energy method and constructing suitable Lyapunov functionals, we prove the exponential stability of the system.