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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 quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition
Yu. V. Sheretov Tver State University, Tver
Abstract:
The quasi-hydrodynamic system was proposed by the author in 1993. It has deep connections with classical
Navier-Stokes equations. In this paper exact solutions of quasi-hydrodynamic system, obeying the generalized Gromeka-Beltrami condition system, are constructed.
These solutions also satisfy the Navier-Stokes system and have been found previously for it in a different way. In the non-stationary case they generalize well-known Jeffrey Ingram Taylor's solution.
Keywords:
Navier-Stokes and Euler systems, quasi-hydrodynamic system, exact solutions, generalized Gromeka-Beltrami condition.
Received: 27.06.2018 Revised: 02.09.2018
Citation:
Yu. V. Sheretov, “On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3, 5–18
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https://www.mathnet.ru/eng/vtpmk507 https://www.mathnet.ru/eng/vtpmk/y2018/i3/p5
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Abstract page: | 394 | Full-text PDF : | 141 | References: | 24 |
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