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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2002, Volume 43, Issue 1, Pages 27–35 (Mi pmtf2575)  

Hydrodynamics with quadratic pressure. 1. General results

A. P. Chupakhin

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract: A wide class of solutions of Euler equations with quadratic pressure are described. In Lagrangian coordinates, these solutions linearize exactly momentum equations and are characterized by special initial data: the Jacobian matrix of the initial velocity field has constant algebraic invariants. The equations are integrated using the method of separation of the time and Lagrangian coordinates. Time evolution is defined by elliptic functions. The solutions have a pole-type singularity at a finite time. A representation for the velocity vortex is given.
Received: 25.05.2001
English version:
Journal of Applied Mechanics and Technical Physics, 2002, Volume 43, Issue 1, Pages 22–28
DOI: https://doi.org/10.1023/A:1013945724422
Bibliographic databases:
Document Type: Article
UDC: 532.516+517.95
Language: Russian
Citation: A. P. Chupakhin, “Hydrodynamics with quadratic pressure. 1. General results”, Prikl. Mekh. Tekh. Fiz., 43:1 (2002), 27–35; J. Appl. Mech. Tech. Phys., 43:1 (2002), 22–28
Citation in format AMSBIB
\Bibitem{Chu02}
\by A.~P.~Chupakhin
\paper Hydrodynamics with quadratic pressure. 1.~General results
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 1
\pages 27--35
\mathnet{http://mi.mathnet.ru/pmtf2575}
\elib{https://elibrary.ru/item.asp?id=17274615}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 1
\pages 22--28
\crossref{https://doi.org/10.1023/A:1013945724422}
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