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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 160–183 (Mi znsl3537)  
This article is cited in 1 scientific paper (total in 1 paper)

Instability of rotating fluid

V. A. Solonnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The paper is concerned with the problem of stability of uniformly rotating viscous incompressible self-gravitating liquid bounded by a rotationally symmetric free surface. It is proved that it is unstable, if the second variation of the energy functional is not positive. Bibl. – 11 titles.
Key words and phrases: rotating fluid, equilibrium figure instability.
Received: 15.11.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 1, Pages 91–105
DOI: https://doi.org/10.1007/s10958-010-9848-6
Bibliographic databases:
Document Type: Article
UDC: 517.589
Language: English
Citation: V. A. Solonnikov, “Instability of rotating fluid”, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 160–183; J. Math. Sci. (N. Y.), 166:1 (2010), 91–105
Citation in format AMSBIB
\Bibitem{Sol09}
\by V.~A.~Solonnikov
\paper Instability of rotating fluid
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 370
\pages 160--183
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3537}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 1
\pages 91--105
\crossref{https://doi.org/10.1007/s10958-010-9848-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949277510}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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