Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation
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 equat...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/495408 |
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| _version_ | 1832552544959725568 |
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| author | Yoshiaki Kusaka |
| author_facet | Yoshiaki Kusaka |
| author_sort | Yoshiaki Kusaka |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0868d1a61028473fa2ebf766e04df423 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0868d1a61028473fa2ebf766e04df4232025-02-03T05:58:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/495408495408Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density EquationYoshiaki Kusaka0Department of Mathematics, Faculty of Engineering, Tamagawa University, 6-1-1 Tamagawa-Gakuen, Machida, Tokyo 194-8610, JapanWe 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.http://dx.doi.org/10.1155/2013/495408 |
| spellingShingle | Yoshiaki Kusaka Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation Abstract and Applied Analysis |
| title | Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation |
| title_full | Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation |
| title_fullStr | Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation |
| title_full_unstemmed | Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation |
| title_short | Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation |
| title_sort | classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation |
| url | http://dx.doi.org/10.1155/2013/495408 |
| work_keys_str_mv | AT yoshiakikusaka classicalsolvabilityofafreeboundaryproblemforanincompressibleviscousfluidwithasurfacedensityequation |