Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory

Xiaoming Peng; Yadong Shang; Xiaoming Peng; Yadong Shang

doi:10.3934/math.2021033

AIMS Mathematics

2021, Volume 6, Issue 1: 543-563. doi: 10.3934/math.2021033

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Research article

Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory

Xiaoming Peng ¹,
Yadong Shang ^{2
,
,}

1.
School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China
2.
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Received: 24 August 2020 Accepted: 11 October 2020 Published: 21 October 2020
MSC : 35L72, 35B41, 35B35

In this paper, the long time behavior of a quasilinear viscoelastic equation with nonlinear damping is considered. Under suitable assumptions, the existence of global attractors is established.
- attractors,
- quasilinear,
- viscoelastic,
- nonlinear damping,
- memory
Citation: Xiaoming Peng, Yadong Shang. Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory[J]. AIMS Mathematics, 2021, 6(1): 543-563. doi: 10.3934/math.2021033

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Abstract

In this paper, the long time behavior of a quasilinear viscoelastic equation with nonlinear damping is considered. Under suitable assumptions, the existence of global attractors is established.

References

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