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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2010, том 15, выпуск 1, страницы 59–65 (Mi rcd472)

On the form of a closed cavity in which there exist uniform vortex motions of an ideal incompressible fluid

S. N. Sudakov

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, R. Luxemburg ul., 74, Donetsk, Ukraine 83114

Аннотация: The paper of S.V. Jacques [1] deals with the problem of finding forms of cavities in which there exist uniform vortex motions of an ideal incompressible fluid. In [1] the surface of the cavity was assumed to be a surface of revolution. The present work solves this problem without resorting to this assumption.

Ключевые слова: homogeneous vortex flows, incompressible inviscid fluid, cavity, the theorems of Helmholtz.

MSC: 76M23

Поступила в редакцию: 01.08.2009
Принята в печать: 03.10.2009

Язык публикации: английский

DOI: 10.1134/S156035471001003X



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