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

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

Keywords

• Uniform attractor
• Berger equation
• nonlinear damping