Model of a Nonuniformly Heated Viscous Flow through a Bounded Domain

A mathematical model describing the flow of a nonuniformly heated viscous fluid through a bounded domain under slip boundary conditions is studied. Sufficient conditions are derived for the solvability of the problem in the class of weak solutions. Energy equalities for the solutions are obtained. I...

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Bibliographic Details
Published in:Differential equations 2020-03, Vol.56 (3), p.304-314
Main Authors: Baranovskii, E. S., Domnich, A. A.
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:A mathematical model describing the flow of a nonuniformly heated viscous fluid through a bounded domain under slip boundary conditions is studied. Sufficient conditions are derived for the solvability of the problem in the class of weak solutions. Energy equalities for the solutions are obtained. It is shown that the set of weak solutions is sequentially weakly closed.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120030039