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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2016, Issue 1, Pages 93–101
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This article is cited in 2 scientific papers (total 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.
Received: 15.01.2016 Revised: 20.01.2016
Citation:
V. V. Grigoryeva, Yu. V. Sheretov, “On the exact solutions of full quasi-hydrodynamic equations for stationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 1, 93–101
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https://www.mathnet.ru/eng/vtpmk7 https://www.mathnet.ru/eng/vtpmk/y2016/i1/p93
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Abstract page: | 177 | Full-text PDF : | 104 | References: | 64 |
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