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

Author

Kusaka, Yoshiaki

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-09-30

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Kusaka, Yoshiaki. 2013. Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476227

Modern Language Association (MLA)

Kusaka, Yoshiaki. Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-476227

American Medical Association (AMA)

Kusaka, Yoshiaki. Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-476227

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-476227