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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.], 2016 Issue 1, Pages 93–101 (Mi vtpmk7)

This article is cited in 2 papers

Mathematical Modelling, Numerical Methods and Software Systems

On the exact solutions of full quasi-hydrodynamic equations for stationary flows

V. V. Grigoryevaa, Yu. V. Sheretovb

a Tver State Technical University
b Tver State University

Abstract: It is shown that any infinitely differentiable solution of the stationary Euler system is the solution of corresponding quasi-hydrodynamic system if and only if it satisfies to stationary Navier-Stokes system. An example of the exact solution, which is common for three these systems and describes an isothermal vortex in gas, is given.

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

UDC: 533.6, 517.95

Received: 15.01.2016
Revised: 20.01.2016



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