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.
Author: | Jürgen Socolowsky |
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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: | Hochschulbibliografie |
Licence (German): | ![]() |