Electron. J. Differential Equations, Vol. 2017 (2017), No. 278, pp. 1-14.

Existence of attractors for the non-autonomous Berger equation with nonlinear damping

Lu Yang, Xuan Wang

Abstract:
In this article, we study the long-time behavior of the non-autonomous Berger equation with nonlinear damping. We prove the existence of a compact uniform attractor for the Berger equation with nonlinear damping in the space $(H^2(\Omega)\cap H_0^1(\Omega))\times L^2(\Omega)$.

Submitted September 23, 2016. Published November 8, 2017.
Math Subject Classifications: 35B40, 35B41, 35L70
Key Words: Uniform attractor; Berger equation; nonlinear damping.

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Lu Yang
School of Mathematics and Statistics
Lanzhou University
Lanzhou, 730000, China
email: yanglu@lzu.edu.cn
Xuan Wang
College of Mathematics and Statistics
Northwest Normal University
Lanzhou, 730070, China
email: wangxuan@nwnu.edu.cn

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