RUS  ENG
Full version
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 2, Pages 5–15 (Mi vtpmk169)

This article is cited in 9 papers

Mathematical Modelling, Numerical Methods and Software Systems

On the common exact solutions of stationary Navier-Stokes and quasi-hydrodynamic systems, not satisfying to Euler equations

Yu. V. Sheretov

Tver State University, Tver

Abstract: Three families of exact solutions, which are common for the stationary Navier-Stokes system and corresponding quasi-hydrodynamic system, are constructed. These solutions do not satisfy to Euler equations. The concrete examples of solutions that describe the flows of a viscous fluid are presented. Their physical interpretation is given.

Keywords: Navier-Stokes and Euler systems, quasi-hydrodynamic equations, exact solutions.

UDC: 517.95, 532.5

Received: 21.03.2017
Revised: 27.04.2017

DOI: 10.26456/vtpmk169



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025