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

Yoshiaki Kusaka

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/495408

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:495408

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