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On the Construction of Regularized Equations of Motion for a Mixture of Viscous Incompressible Fluids

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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.

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Funding

This work was supported by the Russian Science Foundation, project no. 22-11-00126.

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Authors and Affiliations

  1. Higher School of Economics University, Moscow, Russia

    A. A. Zlotnik

  2. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    A. A. Zlotnik

Authors
  1. A. A. Zlotnik
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Correspondence to A. A. Zlotnik.

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The author declares that he has no conflicts of interest.

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Translated by I. Ruzanova

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Zlotnik, A.A. On the Construction of Regularized Equations of Motion for a Mixture of Viscous Incompressible Fluids. Dokl. Math. 106, 380–385 (2022). https://doi.org/10.1134/S1064562422050222

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  • DOI: https://doi.org/10.1134/S1064562422050222

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