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Solvability of the stationary heat convection problem for a high-viscosity fluid

Solvability of the stationary heat convection problem for a high-viscosity fluid We study the stationary heat convection problem in the Boussinesq approximation. We derive a priori estimates for its solution. We prove existence and uniqueness theorems for a weak solution of the problem and analyze the smoothness of a weak solution for raised smoothness of the problem data. We consider the two- and three-dimensional cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Solvability of the stationary heat convection problem for a high-viscosity fluid

Differential Equations , Volume 45 (1) – Feb 25, 2009

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References (7)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266109010091
Publisher site
See Article on Publisher Site

Abstract

We study the stationary heat convection problem in the Boussinesq approximation. We derive a priori estimates for its solution. We prove existence and uniqueness theorems for a weak solution of the problem and analyze the smoothness of a weak solution for raised smoothness of the problem data. We consider the two- and three-dimensional cases.

Journal

Differential EquationsSpringer Journals

Published: Feb 25, 2009

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