Abstract and Applied Analysis

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

Yoshiaki Kusaka

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 495408, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449748

Digital Object Identifier
doi:10.1155/2013/495408

Mathematical Reviews number (MathSciNet)
MR3108645

Zentralblatt MATH identifier
1292.35342

Citation

Kusaka, Yoshiaki. Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 495408, 9 pages. doi:10.1155/2013/495408. https://projecteuclid.org/euclid.aaa/1393449748


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References

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