Uniform attractors for nonautonomous 2D MHD equations with partial dissipation

Abstract

In this article, we study the long-time behavior of solutions of nonautonomous 2D magnetohydrodynamics equations with partial dissipation and time-dependent external forcing, which is weakly normal. We prove that the system possesses strong uniform attractors. Furthermore, the structure of the uniform attractors is obtained, and the fractal dimension is estimated for the kernel sections of the uniform attractors.