A note on the asymptotic smoothing effect of solutions to a non-Newtonian system in 2-D unbounded domains Original Research Article

In this note, the authors consider the regularity of the global attractor for a non-Newtonian system in two-dimensional unbounded domains. They prove that the L2L2-compact attractor and the H2H2-compact attractor of the system are the same and thus establish the asymptotic smoothing effect of solutions to this system.