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arxiv: 1611.01918 · v2 · pith:GYOEKT3Snew · submitted 2016-11-07 · 🧮 math.DS

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

classification 🧮 math.DS
keywords boundarycahn-hilliard-navier-stokesconditionsdynamicsystemattractordimensionalfinite
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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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