Incompressible limit of viscous liquid-gas two-phase flow model

摘要

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 ε8, 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.