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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.

Suggested Citation

  • Yoshiaki Kusaka, 2013. "Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, September.
  • Handle: RePEc:hin:jnlaaa:495408
    DOI: 10.1155/2013/495408
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