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Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions (1611.01918v2)
Published 7 Nov 2016 in math.DS
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 $\ell$-trajectories method.
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