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Model of a Nonuniformly Heated Viscous Flow through a Bounded Domain

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Abstract

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.

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Correspondence to E. S. Baranovskii or A. A. Domnich.

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Translated by V. Potapchouck

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Baranovskii, E.S., Domnich, A.A. Model of a Nonuniformly Heated Viscous Flow through a Bounded Domain. Diff Equat 56, 304–314 (2020). https://doi.org/10.1134/S0012266120030039

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  • DOI: https://doi.org/10.1134/S0012266120030039

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