WIAS Preprint No. 537, (1999)

On inhomogeneous velocity boundary conditions in the Förste model of a radiating, viscous, heat conducting fluid


Authors

  • Stoyan, Gisbert

2010 Mathematics Subject Classification

  • 35J25

Keywords

  • Coupled system of Navier-Stokes equations, heat conduction equation, radiation intensity equation, existence, uniqueness, solution growth in dependence on parameters

DOI

10.20347/WIAS.PREPRINT.537

Abstract

For the mathematical model of a three-dimensional flow of a radiating, viscous and heat conducting fluid due to J. Förste, we consider existence and uniqueness of weak solutions in case of inhomogeneous Dirichlet boundary conditions for the velocity, and in dependence on the physical parameters.

Appeared in

  • Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 43 (2000), 125--138 (2001)

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