Long-time behavior of a class of viscoelastic plate equations

Yang Liu; Yang Liu

doi:10.3934/era.2020018

Electronic Research Archive

2020, Volume 28, Issue 1: 311-326. doi: 10.3934/era.2020018

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Long-time behavior of a class of viscoelastic plate equations

Yang Liu ^,

College of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730124, China; College of Mathematics, Sichuan University, Chengdu 610065, China

Received: 01 December 2019
Primary: 35A01, 35A02, 35B30, 35B41, 35L35; Secondary: 74D99

This paper is concerned with the initial-boundary value problem for a class of viscoelastic plate equations on an arbitrary dimensional bounded domain. Under certain assumptions on the memory kernel and the source term, the global well-posedness of solutions and the existence of global attractors are obtained.
- Viscoelastic plate equations,
- global well-posedness,
- absorbing sets,
- global attractors,
- past history approach
Citation: Yang Liu. Long-time behavior of a class of viscoelastic plate equations[J]. Electronic Research Archive, 2020, 28(1): 311-326. doi: 10.3934/era.2020018

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Abstract

This paper is concerned with the initial-boundary value problem for a class of viscoelastic plate equations on an arbitrary dimensional bounded domain. Under certain assumptions on the memory kernel and the source term, the global well-posedness of solutions and the existence of global attractors are obtained.

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