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arXiv · 2203.16736

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

Gongwei Liu·Mengru Wang·Pengyan Ding
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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.

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Gongwei Liu, Mengru Wang, Pengyan Ding. 2022-03-31. Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings. https://arxiv.org/abs/2203.16736

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