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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 306, Pages 165–185 (Mi znsl854)  

This article is cited in 12 scientific papers (total in 12 papers)

Capillary/gravity film flows on the surface of a rotating cylinder

V. V. Pukhnachov

M. A. Lavrent'ev Institute of Hydrodynamics
References:
Abstract: We derive the equations describing the motion of a viscous incompressible capillary film on the surface of a rotating cylinder in the transversal gravity field. As a result, we obtain the equation for the film thickness, which has a fourth order in two space variables and a first order in time. We study both space periodic solutions in the axial coordinate and localized solutions of this equation in the stationary case. The stability of stationary solutions is discussed also. Analysis of the one-dimensional problem shows that its solution strongly depends on Galileo number and it does not exist if this number is large.
Received: 01.10.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 130, Issue 4, Pages 4871–4883
DOI: https://doi.org/10.1007/s10958-005-0382-x
Bibliographic databases:
UDC: 517
Language: English
Citation: V. V. Pukhnachov, “Capillary/gravity film flows on the surface of a rotating cylinder”, Boundary-value problems of mathematical physics and related problems of function theory. Part 34, Zap. Nauchn. Sem. POMI, 306, POMI, St. Petersburg, 2003, 165–185; J. Math. Sci. (N. Y.), 130:4 (2005), 4871–4883
Citation in format AMSBIB
\Bibitem{Puk03}
\by V.~V.~Pukhnachov
\paper Capillary/gravity film flows on the surface of a~rotating cylinder
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 306
\pages 165--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl854}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2065502}
\zmath{https://zbmath.org/?q=an:1142.76009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 130
\issue 4
\pages 4871--4883
\crossref{https://doi.org/10.1007/s10958-005-0382-x}
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  • https://www.mathnet.ru/eng/znsl854
  • https://www.mathnet.ru/eng/znsl/v306/p165
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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