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Dynamics of piezoelectric beams with magnetic effects and delay term

  • * Corresponding author: Mirelson M. Freitas

    * Corresponding author: Mirelson M. Freitas 
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  • In this paper, we consider a piezoelectric beams system with magnetic effects and delay term. We study its long-time behavior through the associated dynamical system. We prove that the system is gradient and asymptotically smooth, which as a consequence, implies the existence of a global attractor, which is characterized as unstable manifold of the set of stationary solutions. We also get the quasi-stability of the system by establishing a stabilizability estimate and therefore obtain the finite fractal dimension of the global attractor.

    Mathematics Subject Classification: Primary: 35B40, 35B41, 35L53; Secondary: 74K10.


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