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arXiv · 1611.01918

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

Bo You·Fang Li·Chang Zhang
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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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Bo You, Fang Li, Chang Zhang. 2016-11-07. Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions. https://arxiv.org/abs/1611.01918

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