We consider the compressible Navier–Stokes–Cahn–Hilliard system describing the behavior of a binary mixture of compressible, viscous and macroscopically immiscible fluids. The equations are endowed with dynamic boundary conditions which allows taking into account the interaction between the fluid components and the rigid walls of the physical domain. We establish the existence of global-in-time weak solutions for any finite energy initial data.

中文翻译：

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具有动态边界条件的可压缩 Navier–Stokes–Cahn–Hilliard 方程

我们考虑可压缩的 Navier-Stokes-Cahn-Hilliard 系统，该系统描述了可压缩、粘性和宏观不混溶流体的二元混合物的行为。这些方程具有动态边界条件，允许考虑流体成分与物理域的刚性壁之间的相互作用。我们为任何有限能量初始数据建立了全局实时弱解的存在。