Uniform attractor for non-autonomous Boussinesq-type equation with critical nonlinearity

摘要

In this paper, we study the longtime dynamics of the non-autonomous Boussinesq-type equationwith critical nonlinearity, and time-dependent external forcing, which is translation bounded but not translation compact. We prove the existence of a uniform attractor in (H-2 (Omega) boolean AND H-0(1) (Omega)) x L-2 (Omega). Copyright (C) 2015 John Wiley & Sons, Ltd.