Geodesic
Application of Megrabov's differential identities to the two-velocity hydrodynamics equations with one pressure
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 156-163

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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. 
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     title = {Application of {Megrabov's} differential identities to the two-velocity hydrodynamics equations with one pressure},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Nasriddin M. Zhabborov; Petr V. Korobov; Kholmatzhon Kh. Imomnazarov. Application of Megrabov's differential identities to the two-velocity hydrodynamics equations with one pressure. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 2, pp. 156-163. http://geodesic.mathdoc.fr/item/JSFU_2012_5_2_a1/