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  • Cahn–Hilliard–Navier–Stokes...
    Cahn–Hilliard–Navier–Stokes systems with moving contact lines
    Gal, C. G.; Grasselli, M.; Miranville, A.

    Calculus of variations and partial differential equations, 06/2016, Volume: 55, Issue: 3
    Journal Article

    We consider a well-known diffuse interface model for the study of the evolution of an incompressible binary fluid flow in a two or three-dimensional bounded domain. This model consists of a system of two evolution equations, namely, the incompressible Navier-Stokes equations for the average fluid velocity u coupled with a convective Cahn–Hilliard equation for an order parameter ϕ . The novelty is that the system is endowed with boundary conditions which account for a moving contact line slip velocity. The existence of a suitable global energy solution is proven and the convergence of any such solution to a single equilibrium is also established.

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