Pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions

摘要

This paper is concerned with the existence of pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions. Due to the lack of the Holder continuity in time of the semigroup and the smoothing property of the difference of two weak solutions, we construct a pullback exponential attractor in the original phase space by the l-trajectories methods. (C) 2018 Elsevier Inc. All rights reserved.