geophysical fluid dynamics,
vortex structures,
wave interactions,
hamilton methods for fluid dynamics models.
Main publications:
Goncharov V. P., Pavlov V. I., “Some Remarks on the Physical Foundation of the Hamiltonian Description of Fluid Motions”, Eur. J. Mech., B/Fluids., 16:4 (1997), 509–555
Goncharov V. P., Gryanik V.M., Pavlov V. I., “Venusian “hot spots”: Physical phenomenon
and its quantification”, Phys. Rev. Ser. E, 66:6 (2002), 066304(11)
Goncharov V., Pavlov V., “Model of compactons on jet streams and their collapse”, Phys. Rev. Ser. E, 76:6 (2007), 066314(15)
V. P. Goncharov, V. I. Pavlov, HAMILTONIAN VORTEX AND WAVE DYNAMICS, GEOS, Moscow, 2008
V. P. Goncharov, V. I. Pavlov, “Instability of Gravity Flows on a Slope”, Journal of Experimental and Theoretical Physics, 111:1 (2010), 124–134
V. P. Goncharov, V. I. Pavlov, “Effect of nonhydrostaticity on the final stage of instability in shallow water with a horizontally nonuniform density”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:7 (2015), 490–495; JETP Letters, 101:7 (2015), 438–443
V. P. Goncharov, V. I. Pavlov, “Whether the Sun's supergranulation possesses a scaling?”, Pis'ma v Zh. Èksper. Teoret. Fiz., 99:6 (2014), 365–370; JETP Letters, 99:6 (2014), 317–322
V. P. Goncharov, V. I. Pavlov, “Blow-up instability in shallow water flows with
horizontally-nonuniform density”, Pis'ma v Zh. Èksper. Teoret. Fiz., 96:7 (2012), 474–478; JETP Letters, 96:7 (2012), 427–431
V. P. Goncharov, V. I. Pavlov, “Dominant structures in jet streams”, Pis'ma v Zh. Èksper. Teoret. Fiz., 84:7 (2006), 459–465; JETP Letters, 84:7 (2006), 384–390
V. P. Goncharov, A. L. Makarov, “Quasi-conservative regimes of vortex flows with an additional
motion integral due to viscosity”, Dokl. Akad. Nauk, 346:4 (1996), 474–477; Dokl. Math., 41:2 (1996), 68–71
1990
7.
V. P. Goncharov, “Poisson brackets for hydrodynamic models with intrinsic degrees of
freedom”, Dokl. Akad. Nauk SSSR, 313:6 (1990), 1420–1424; Dokl. Math., 35:8 (1990), 728–729
8.
V. P. Goncharov, “Construction of canonical variables and the problem of “gauge”
freedom in hydrodynamics”, Dokl. Akad. Nauk SSSR, 313:1 (1990), 27–30; Dokl. Math., 35:7 (1990), 616–618
1977
9.
V. P. Goncharov, V. A. Krasil'nikov, V. I. Pavlov, “On the introduction of canonical variables into equations of perfect liquid hydrodynamics in the general relativity theory”, Dokl. Akad. Nauk SSSR, 236:1 (1977), 61–64
1976
10.
V. P. Goncharov, V. A. Krasil'nikov, V. I. Pavlov, “Canonical variables in the magnetohydrodynamics of a nonuniform medium”, Dokl. Akad. Nauk SSSR, 228:2 (1976), 332–334
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