论文标题

具有磁效应和非线性阻尼的压电系统的长期动力学行为

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

论文作者

Liu, Gongwei, Wang, Mengru, Ding, Pengyan

论文摘要

本文涉及具有磁效应的压电系统的长期动力学行为,该系统具有非线性阻尼项和带有参数的外部力。首先,我们使用非线性半群理论来证明解决方案的适合性。然后,我们研究了全球吸引子的特性和指数吸引子的存在。最后,已经调查了全球吸引子的上半持续点。

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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