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

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 $(H^2(\Omega)\cap H_0^1(\Omega))\times L^2(\Omega)$.

Bibliographic Details
Main Authors: Lu Yang, Xuan Wang
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/278/abstr.html