Global weak solution to the viscous two-fluid model with finite energy
Global weak solution to the viscous two-fluid model with finite energy
复制标题
DOI：
10.1016/j.matpur.2018.06.019
复制
发表时间：
2017-04
期刊：
影响因子：
--
通讯作者：
A. Vasseur;Huanyao Wen;Cheng Yu
中科院分区：
文献类型：
--
作者：
A. Vasseur;Huanyao Wen;Cheng Yu
在本文中，我们证明了三维空间中可压缩二流体纳维-斯托克斯方程全局弱解的存在性。压力取决于连续性方程中的两个不同变量。我们提出了压力定律的变量约简论证。这产生了密度的强收敛性，并为具有三维空间中的大数据的可压缩二流体纳维-斯托克斯方程提供了时间上全局解的存在性。
In this paper, we prove the existence of global weak solutions to the compressible two-fluid Navier–Stokes equations in three dimensional space. The pressure depends on two different variables from the continuity equations. We develop an argument of variable reduction for the pressure law. This yields to the strong convergence of the densities, and provides the existence of global solutions in time, for the compressible two-fluid Navier–Stokes equations, with large data in three dimensional space.