Incompressible Limit of Viscous Liquid-Gas Two-Phase Flow Model

Source abstract

We investigate the incompressible limit of the viscous liquid-gas two-phase flow model with periodic boundary conditions. It is shown that the local classical solution of the two-phase flow model converges to the local classical solution of the incompressible Navier--Stokes equations, as $\epsilon\rightarrow \infty$, which builds up the relationship between the two-phase flow model and the incompressible Navier--Stokes equations. In addition, we give the convergence rate estimates in some norms.