A. A. Zlotnik, “On the construction of regularized equations of motion for a mixture of viscous incompressible fluids”, Dokl. RAN. Math. Inf. Proc. Upr., 2022, Volume 506,Pages <nobr>89

MATHEMATICS

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

A. A. Zlotnik^ab

^a Higher School of Economics University, Moscow, Russia
^b Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

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.

UDC: 517.958:531.32

Presented: B. N. Chetverushkin
Received: 12.05.2022
Revised: 27.06.2022
Accepted: 16.08.2022

DOI: 10.31857/S2686954322050204