TY - JOUR A1 - Socolowsky, Jürgen T1 - Existence and uniqueness of the solution to a free boundary-value problem with thermocapillary convection in an unbounded domain T2 - In: Acta Applicandae Mathematica November 37 (1994)1-2, pp 181-194 N2 - 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. Y1 - 2014 UR - https://opus4.kobv.de/opus4-fhbrb/frontdoor/index/index/docId/912 SN - 0167-8019 (print) SN - 1572-9036 (online) SP - 181 EP - 194 ER -