Mathematics Group, Engineering Department, Brandenburg University of Applied Sciences, P.O. Box 2132, 14737 Brandenburg an der Havel, Germany
Copyright © 2009 Jürgen Socolowsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary
value problems for the Navier-Stokes equations or their modifications. In the present paper we
are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection
is incorporated, too. The solvability of a corresponding stationary problem is discussed. The
obtained results generalize previous results for a similar isothermal problem.