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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 2, Pages 156–163 (Mi jsfu232)  
Application of Megrabov's differential identities to the two-velocity hydrodynamics equations with one pressure

Nasriddin M. Zhabborova, Petr V. Korobovb, Kholmatzhon Kh. Imomnazarovb

a National University of Uzbekistan named after M. Ulugbek, Tashkent, Uzbekistan
b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: A series of the differential identities connecting velocities, pressure and body force in the two-velocity hydrodynamics equations with equilibrium of pressure phases are found. Some of these identities have a divergent form and can be considered as some conservation laws. It is detected that the flow functions for plane motion satisfy the Monge–Ampere system of equations.
Keywords: two-velocity hydrodynamics, hyperbolic system.
Received: 29.11.2011
Received in revised form: 29.12.2011
Accepted: 10.01.2012
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Nasriddin M. Zhabborov, Petr V. Korobov, Kholmatzhon Kh. Imomnazarov, “Application of Megrabov's differential identities to the two-velocity hydrodynamics equations with one pressure”, J. Sib. Fed. Univ. Math. Phys., 5:2 (2012), 156–163
Citation in format AMSBIB
\Bibitem{ZhaKorImo12}
\by Nasriddin~M.~Zhabborov, Petr~V.~Korobov, Kholmatzhon~Kh.~Imomnazarov
\paper Application of Megrabov's differential identities to the two-velocity hydrodynamics equations with one pressure
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 2
\pages 156--163
\mathnet{http://mi.mathnet.ru/jsfu232}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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