论文标题
磁流体的扩散界面模型的弱解决方案的全球存在
Global existence of weak solutions to a diffuse interface model for magnetic fluids
论文作者
论文摘要
本文致力于对两种牛顿不可压缩磁液的弥散界面流进行建模的部分微分方程系统的推导和分析。该系统由不可压缩的Navier-Stokes方程以及磁化矢量和Cahn-Hilliard方程的进化方程组成。我们使用时间离散化方法展示了系统薄弱解决方案的全局存在。
This article is devoted to the derivation and analysis of a system of partial differential equations modeling a diffuse interface flow of two Newtonian incompressible magnetic fluids. The system consists of the incompressible Navier-Stokes equations coupled with an evolutionary equation for the magnetization vector and the Cahn-Hilliard equations. We show global in time existence of weak solutions to the system using the time discretization method.
