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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 506, Pages 89–94
DOI: https://doi.org/10.31857/S2686954322050204 (Mi danma304) 		 
MATHEMATICS

On the construction of regularized equations of motion for a mixture of viscous incompressible fluids

A. A. Zlotnikab

a Higher School of Economics University, Moscow, Russia
b Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322050204
Abstract: A regularization of two types and aggregation are performed for the system of equations of motion for a multivelocity mixture of viscous incompressible fluids, and new multivelocity and single-velocity systems are constructed. For all of them, elliptic equations for the pressure and dissipative balance equations for the total energy of the mixture (the sum of its kinetic and potential energies) are derived.
Keywords: equations of motion for a mixture of viscous incompressible fluids, regularization, aggregation, pressure equation, total energy balance equation.
Funding agency Grant number
Russian Science Foundation 22-11-00126
This work was supported by the Russian Science Foundation, project no. 22-11-00126.
Presented: B. N. Chetverushkin
Received: 12.05.2022
Revised: 27.06.2022
Accepted: 16.08.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 2, Pages 380–385
DOI: https://doi.org/10.1134/S1064562422050222
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.32
Language: Russian
Citation: A. A. Zlotnik, “On the construction of regularized equations of motion for a mixture of viscous incompressible fluids”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 89–94; Dokl. Math., 106:2 (2022), 380–385
Citation in format AMSBIB
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\jour Dokl. Math.
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