| Abstract: |
| In this talk, we will present numerical schemes for the viscous Cahn-Hilliard-Navier-Stokes equations with two kinds of dynamic boundary conditions. Then, we will focus on the moving contact line model introduced and studied in [1]. In this case, we will discuss the unconditional solvability and the energy stability for the time discretization scheme, as well as for the fully discrete scheme. We will also give numerical simulations illustrating our results. \par\medskip\noindent
[1] C. G. Gal, M. Grasselli and A. Miranville, ``Cahn-Hilliard-Navier-Stokes system with moving contact lines``, Calculus of variations and Partial differential equations, Vol. 55, Issue 3, 2016 |
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