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Proceedings of the Mavlyutov Institute of Mechanics, 2016, Volume 11, Issue 2, Pages 205–209
DOI: https://doi.org/10.21662/uim2016.2.030
(Mi pmim86)
 

This article is cited in 1 scientific paper (total in 1 paper)

The motion of the particles volume corresponding to invariant solution of rank 2 submodel of hydrodynamic type

D. T. Siraeva

Ufa State Aviation Technical University
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Abstract: Invariant submodel of rank 2 on the subalgebra consisting of the sum of transfers for hydrodynamic equations with the equation of state in the form of pressure as the sum of density and entropy functions, is presented. In terms of the Lagrangian coordinates from condition of nonhyperbolic submodel solutions depending on the four essential constants are obtained. For simplicity, we consider the solution depending on two constants. The trajectory of particles motion, the motion of parallelepiped of the same particles are studied using the Maple.
Keywords: hydrodynamic type model, invariant submodel of rank 2, exact solution, trajectory.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97027-р_поволжье_а
Received: 16.12.2016
Document Type: Article
UDC: 517.95
Language: Russian
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