标题： 关于具有退化迁移率的不可压缩 Navier-Stokes/Cahn-Hilliard 系统 显示英文标题

标题： On an Incompressible Navier-Stokes/Cahn-Hilliard System with Degenerate Mobility

摘要： 我们通过允许退化迁移率，证明了在有界域中两种粘性不可压缩牛顿流体流动的扩散界面模型弱解的存在性。 该模型由Abels、Garcke和Grün为密度不同的流体开发，导致一个无散度的速度场。 它由一个非齐次的Navier-Stokes系统与一个修改的对流项耦合的Cahn-Hilliard系统给出，使得满足从模型热力学一致性得出的能量估计。 显示英文摘要

摘要： We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain by allowing for a degenerate mobility. The model has been developed by Abels, Garcke and Gr\"un for fluids with different densities and leads to a solenoidal velocity field. It is given by a non-homogeneous Navier-Stokes system with a modified convective term coupled to a Cahn-Hilliard system, such that an energy estimate is fulfilled which follows from the fact that the model is thermodynamically consistent.