Finite Fractal Dimensional Pullback Attractors for a Class of 2D Magneto-Viscoelastic Flows

In this article, the long-time behaviors of weak solutions for the 2D non-autonomous magneto-viscoelastic flows are considered. Unlike the results established by Liu and Liu (Politeh Univ Buchar Sci Bull Ser A Appl Math Phys 81(4):155-166, 2019), utilizing the method of & ell;-trajectories introduced by M & aacute;lek and Pra & zcaron;& aacute;k (J Differ Equ 181(2):243-279, 2002), we first justify the existence of finite-dimensional pullback attractors for the process {L(t,tau)}t >=tau in the & ell;-trajectories space X-& ell;. Then we obtain the corresponding finite-dimensional pullback attractors for the process {U(t,tau)}(t >=tau) in the original phase space H.