Two-Dimensional Hydrodynamics as a Class of Special Hamiltonian Systems

Autor:	Kostyantyn M. Kulyk, Vladimir V. Yanovsky
Jazyk:	English<br />Russian<br />Ukrainian
Rok vydání:	2024
Předmět:	hamiltonian lagrangian exact solutions two-dimensional hydrodynamics phase flow Physics QC1-999
Zdroj:	East European Journal of Physics, Iss 2, Pp 134-141 (2024)
Druh dokumentu:	article
ISSN:	2312-4334 2312-4539
DOI:	10.26565/2312-4334-2024-2-12
Popis:	The paper defines a class of Hamiltonian systems whose phase flows are exact solutions of the two-dimensional hydrodynamics of an incompressible fluid. The properties of this class are considered. An example of a Lagrangian one-dimensional system is given, which after the transition to the Hamiltonian formalism leads to an unsteady flow, that is, to an exact solution of two-dimensional hydrodynamics. The connection between these formalisms is discussed and the Lagrangians that give rise to Lagrangian hydrodynamics are introduced. The obtained results make it possible to obtain accurate solutions, such as phase flows of special Hamiltonian systems.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7a48a15b0e29443db1add7f2707b5e5f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF