Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions

2016/11/07 by You, Bo, Li, Fang, Zhang, Chang
#34A12 #35B40 #35Q35 #37L30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.01918

Abstract

In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinearities of arbitrary order. We prove the existence of a finite dimensional global attractor for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions by using the ℓ-trajectories method.

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