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Эта публикация цитируется в 13 научных статьях (всего в 13 статьях)
Effective computations in modern dynamics
Dynamics of three vortices in a two-layer rotating fluid
M. A. Sokolovskiyab, J. Verronc a Water Problems Institute,
Russian Academy of Sciences,
3, Gubkina Str., GSP-1, 119991, Moscow, Russia
b Institute of Mathematics and Mechanics,
Ural Branch of the Russian Academy of Sciences,
16, S. Kovalevskaja Str., GSP-384, 620219, Ekaterinburg, Russia
c Laboratoire des Ecoulements Géophysiques er Industriels (LEGI),
UMR 5519, CNRS, BP53 X, 38041, Grenoble Cedex, France
Аннотация:
The problem of studying the motion of three vortex lines with arbitrary intensities in an unbounded two-dimensional finite-thickness layer of a homogeneous fluid is known [25], [9], [28], [1] to belong to the class of integrable problems. However, a complete classification of possible motions was constructed only recently [10], [28], [41]. In [40], [39], [20] a generalization is given for two-layer rotating fluid in the particular case determined by the conditions of (i) zero total circulation of vortices, and (ii) the equality of the intensities of two vortices. Here, the first of these restrictions is lifted.
Поступила в редакцию: 01.10.2004
Образец цитирования:
M. A. Sokolovskiy, J. Verron, “Dynamics of three vortices in a two-layer rotating fluid”, Regul. Chaotic Dyn., 9:4 (2004), 417–438
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd754 https://www.mathnet.ru/rus/rcd/v9/i4/p417
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