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

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  • Yoshiaki Kusaka

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:495408
DOI: 10.1155/2013/495408
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