Geodesic
Solution in weak sense of a boundary value problem describing thermal convection
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 121-132
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Boundary value problem for the stationary model thermal convection of a high-viscosity inhomogeneous incompressible fluid in the Boussinesq approximation with irregular boundary data for temperature is investigated. Conditions of uniqueness solvability of the boundary value problem are specified. The smoothness of a weak solution subject to the smoothness of initial data and the smoothness of a boundary of a domain, where solution is sought, is investigated.
Keywords: thermal convection, irregular boundary data, weak solution. 
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A. I. Korotkii. Solution in weak sense of a boundary value problem describing thermal convection. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 121-132. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a8/

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