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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017 Issue 3, Pages 13–25 (Mi vtpmk176)

This article is cited in 9 papers

Mathematical Modelling, Numerical Methods and Software Systems

On common exact solutions of Navier-Stokes and quasi-hydrodynamic systems for nonstationary flows

Yu. V. Sheretov

Tver State University, Tver

Abstract: It is shown that the Trkal method for constructing uniformly-helical solutions of nonstationary Navier-Stokes equations is applicable for quasi-hydrodynamic system. A wider class of flows, obeying the generalized Gromeki-Beltrami condition, is considered. Examples of exact solutions, common to the Navier-Stokes and quasi-hydrodynamic systems, but not satisfying the Euler equations, are given.

Keywords: Navier-Stokes and Euler systems, quasi-hydrodynamic equations, exact solutions, Trkal method, generalized Gromeka-Beltrami condition, helical flows.

UDC: 517.95, 532.5

Received: 30.07.2017
Revised: 31.08.2017

DOI: 10.26456/vtpmk176



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