Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation

摘要

We investigate a mathematical model introducedby Shikhmurzaev to remove singularities that arise when classical hydrodynamic models are applied to certain physical phenomena. Themodel is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. We prove thelocal-in-time solvability in Hölder spaces.