Mathematical analysis demonstrates exponential stability in piezoelectric beam models under delay and thermodiffusion, highlighting robust energy dissipation mechanisms.
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.
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Douib et al. (2026) studied this question.
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