Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Meleshko, Sergey V."'
The Lagrangian formalism for variational problem for second-order delay ordinary differential equations (DODEs) is developed. The Noether-type operator identities and theorems for DODEs of second order are presented. Algebraic construction of integra
Externí odkaz:
http://arxiv.org/abs/2302.05589
A recent paper considered symmetries and conservation laws of the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. This paper analyses the one-dimensional magnetohydrodynamics flows with cylindrical symmetry in
Externí odkaz:
http://arxiv.org/abs/2207.05379
Autor:
Dorodnitsyn, Vladimir A., Kaptsov, Evgeniy I., Kozlov, Roman V., Meleshko, Sergey V., Mukdasanit, Potcharapol
The paper considers the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. The inviscid, thermally non-conducting medium is modeled by a polytropic gas. The equations are examined for symmetries and conservation
Externí odkaz:
http://arxiv.org/abs/2110.08235
Autor:
Meleshko, Sergey V., Rogers, Colin
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Volume 1 (July 16, 2021) ocnmp:7358
Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties in non-relativistic gasdynamics and applied to obtain reduction to tractable canonical forms. They have subsequently been shown
Externí odkaz:
http://arxiv.org/abs/2104.06078
Autor:
Meleshko, Sergey V.1 (AUTHOR) evgkaptsov@math.sut.ac.th, Kaptsov, Evgeniy I.1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Mar2024, Vol. 12 Issue 6, p879. 13p.
The paper considers one-dimensional flows of a polytropic gas in the Lagrangian coordinates in three cases: plain one-dimensional flows, radially symmetric flows and spherically symmetric flows. The one-dimensional flow of a polytropic gas is describ
Externí odkaz:
http://arxiv.org/abs/2011.14397
Autor:
Nakpim, Warisa, Meleshko, Sergey V.
The present paper is focused on the analysis of the one-dimensional relativistic gas dynamics equations. The studied equations are considered in Lagrangian description, making it possible to find a Lagrangian such that the relativistic gas dynamics e
Externí odkaz:
http://arxiv.org/abs/1912.12496
This article is the third in a series the aim of which is to use Lie group theory to obtain exact analytic solutions of Delay Ordinary Differential Systems (DODSs). Such a system consists of two equations involving one independent variable $x$ and on
Externí odkaz:
http://arxiv.org/abs/1901.06251
Lie point symmetries of the one-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates are considered. Complete Lie group classification of these equations reduced to a scalar second-order PDE is performed. The classificatio
Externí odkaz:
http://arxiv.org/abs/1812.04598
Publikováno v:
In International Journal of Non-Linear Mechanics January 2023 148