Global weak solution to the viscous two-fluid model with finite energy
Analysis of PDEs
2017-10-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1704.07354,
title = {Global weak solution to the viscous two-fluid model with finite energy},
author = {Alexis Vasseur and Huanyao Wen and Cheng Yu},
journal= {arXiv preprint arXiv:1704.07354},
year = {2017}
}