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On stationary flows of asymmetric fluids with heat convection

✍ Scribed by Grzegorz Łukaszewicz; Włodzimierz Waluś; A. Piskorek

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
373 KB
Volume
11
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by A. Piskorek

Existence, uniqueness and regularity of solutions of equations describing stationary flows of viscous incompressible isotropic fluids with an asymmetric stress tensor have been considered recently.' In this paper we extend the results of Reference 5 to include heat convection in the hydrodynamic model. We show that the boundary value problem (1 4 4 . 6 ) below has solutions in appropriate Sobolev spaces, provided the viscosities v and c, + cd are sufficiently large. The proof is based on a fixed point argument. Moreover, we show that the solutions are unique if the heat conductivity K is large enough.

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