Existence and uniqueness of the solution to a free boundary-value problem with thermocapillary convection in an unbounded domain

  • A free boundary-value problem for a nonisothermal flow of two heavy viscous incompressible capillary liquids descibing a slot coating process is mathematically studied. The problem is stationary and two-dimensional and the Boussinesq approximation for the Navier-Stokes equations is used. The existence and uniqueness of a weak solution is proved in weighted Holder spaces for small data.

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Metadaten
Author:Jürgen Socolowsky
DOI:https://doi.org/10.1007/BF00995140
ISSN:0167-8019 (print)
ISSN:1572-9036 (online)
Parent Title (English):In: Acta Applicandae Mathematica November 37 (1994)1-2, pp 181-194
Document Type:Article
Language:English
Year of Publishing:1994
Date of Publication (online):2014/11/05
Release Date:2014/11/05
First Page:181
Last Page:194
University Bibliography:Hochschulbibliographie
Licence (German):Creative Commons - Namensnennung, Nicht kommerziell, Keine Bearbeitung