On a two-fluid inclined film flow with evaporation
Abstract
This paper is concerned with a plane steady-state inclined film flow including evaporation effects. The motion is governed by a free boundary value problem for a coupled system of Navier–Stokes and Stefan equations. The flow domain is unbounded in two directions and it contains a geometrical perturbation on the inclined bottom. Existence and uniqueness of a suitable solution in weighted Sobolev spaces can be proved for small data (perturbation, inclination of the bottom) characterizing the problem.
Keywords:
Navier–Stokes equations, Stefan equations, evaporation, free boundary value problem, perturbed bottomHow to Cite
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright
Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.