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Solution properties of a model problem on oscillations of a rotating fluid in domains with angular points

S.D. Troitskaya

Moscow University Physics Bulletin 2010. 65. N 6. P. 446

  • Article
Annotation

The behavior of a two-dimensional model problem on the oscillations of a rotating ideal fluid in some domains containing angular points has been studied under $t\to\infty$. The existence is proved of solutions for which the entire energy of the initial state with time is almost completely concentrated in arbitrarily small neighborhoods of the angular points.

Received: 2010 May 21
Approved: 2011 April 13
PACS:
47.32.-y Vortex dynamics; rotating fluids
Authors
S.D. Troitskaya
Institute for Content and Methods of Education, Russian Academy of Education, Pogodinskaya 8, Moscow, 119098, Russia
Issue 6, 2010

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