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
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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.
@article{TIMM_2008_14_1_a5,
author = {A. I. Korotkii and D. A. Kovtunov},
title = {On solvability of stationary problems of natural thermal convection of a~high-viscosity fluid},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {61--73},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a5/}
}
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%0 Journal Article %A A. I. Korotkii %A D. A. Kovtunov %T On solvability of stationary problems of natural thermal convection of a~high-viscosity fluid %J Trudy Instituta matematiki i mehaniki %D 2008 %P 61-73 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2008_14_1_a5/ %G ru %F TIMM_2008_14_1_a5
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/