Geodesic
On solvability of stationary problems of natural thermal convection of a high-viscosity fluid
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 61-73 
A. I. Korotkii; D. A. Kovtunov. On solvability of stationary problems of natural thermal convection of a high-viscosity fluid. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 1, pp. 61-73. http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a5/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In this paper, investigation of stationary problems of natural thermal convection in the Boussinesq approximation with irregular boundary data is carried out. Existence and uniqueness theorems for a weak solution of such problems are proved. The smoothness of a weak solution depending on the smoothness of the initial data and the smoothness of the boundary of the domain where the problem is considered is investigated.

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