Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation
type: Item
instance of: scholarly article
title: Classical solvability of a free boundary problem for an incompressible viscous fluid with a surface density equation
zbMATH Open document ID: 1292.35342
DOI: 10.1155/2013/495408
author: Yoshiaki Kusaka
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6306937
zbMATH Keywords: free boundary problem
zbMATH Keywords: incompressible viscous fluid
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: surface mass balance equation
zbMATH Keywords: local-in-time solvability
zbMATH Keywords: Hölder spaces
Wikidata QID: Q58916898
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/495408
OpenAlex ID: W2016406911
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description: scientific article; zbMATH DE number 6306937