Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation
Summary: We investigate a mathematical model introduced by Shikhmurzaev to remove singularities that arise when classical hydrodynamic models are applied to certain physical phenomena. The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. We prove the local-in-time solvability in Hölder spaces.
scientific article; zbMATH DE number 6306937
scientific article