Инд. авторы:	Medvedev S., Zeitlin V.
Заглавие:	Parallels between stratification and rotation in hydrodynamics, and between both of them and external magnetic field in magnetohydrodynamics, with applications to nonlinear waves
Библ. ссылка:	Medvedev S., Zeitlin V. Parallels between stratification and rotation in hydrodynamics, and between both of them and external magnetic field in magnetohydrodynamics, with applications to nonlinear waves // Solid Mechanics and its Applications. - 2010. - Vol.28. - P.27-37. - ISSN 1875-3507.
Внешние системы:	DOI: 10.1007/978-94-007-0360-5_3; РИНЦ: 18088989; SCOPUS: 2-s2.0-84862271831; WoS: 000291405400003;
Реферат:	eng: We revisit the well-known analogy between the effects of stratification and rotation in hydrodynamics, and between both and the external magnetic field in magnetohydrodynamics. After sketching the similarities among models in what concerns linear and nonlinear stationary waves, we show that the Hamiltonian structure of the 2D versions of the models is the same, and use this fact to I) find a canonical (skew-diagonal) form of the Hamiltonian equations, and 2) to treat in a unified manner the problem of weak turbulence of, respectively, internal gravity, gyroscopic, and Alfven waves in scale-invariant limits. We thus find stationary energy spectra in the long- and short-wave limits for all three types of waves.
Издано:	2010
Физ. характеристика:	с.27-37