Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Dorodnitsyn, Vladimir A."'
The paper suggests a Hamiltonian formulation for delay ordinary differential equations (DODEs). Such equations are related to DODEs with a Lagrangian formulation via a delay analog of the Legendre transformation. The Hamiltonian delay operator identi
Externí odkaz:
http://arxiv.org/abs/2409.08165
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
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
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
Publikováno v:
In International Journal of Non-Linear Mechanics January 2023 148
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
Autor:
Dorodnitsyn, Vladimir A., Kaptsov, Evgeniy I., Kozlov, Roman V., Meleshko, Sergey V., Mukdasanit, Potcharapol
Publikováno v:
In International Journal of Non-Linear Mechanics April 2022 140
A previous article was devoted to an analysis of the symmetry properties of a class of first-order delay ordinary differential systems (DODSs). Here we concentrate on linear DODSs. They have infinite-dimensional Lie point symmetry groups due to the l
Externí odkaz:
http://arxiv.org/abs/1712.07837