Existence and uniqueness of the solution to a free boundary-value problem with thermocapillary convection in an unbounded domain |
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| Authors: | Jürgen Socolowsky |
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| Affiliation: | (1) Fachhochschule Brandenburg/Havel, FB Technik, Angewandte Mathematik, Magdeburger Str. 53, D-14770 Brandenburg/Havel, Germany |
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| Abstract: | 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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| Keywords: | 35Q30 35R35 76D05 |
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