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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 1, Pages 61–73
(Mi timm7)
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This article is cited in 3 scientific papers (total in 3 papers)
On solvability of stationary problems of natural thermal convection of a high-viscosity fluid
A. I. Korotkii, D. A. Kovtunov
Abstract:
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.
Received: 16.11.2007
Citation:
A. I. Korotkii, D. A. Kovtunov, “On solvability of stationary problems of natural thermal convection of a high-viscosity fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 1, 2008, 61–73; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S117–S130
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https://www.mathnet.ru/eng/timm7 https://www.mathnet.ru/eng/timm/v14/i1/p61
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