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