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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 3, Pages 420–426 (Mi jmag304)  
On small motions and normal oscillations of a hydrosystem “a viscous fluid + a system of ideal fluids”

D. A. Zakora, N. D. Kopachevsky

Vernadskiy Tavricheskiy National University
Full-text PDF (227 kB)
Abstract: There is investigated a new problem on small motions and normal oscillations of a hydrodynamical system “a viscous fluid + a system of ideal fluids”. Existence conditions of strong solution of initial boundary value problem are obtained. For corresponding spectral problem asymptotic formulas for branches of eigenvalues are presented. Basisness properties of eigenelements are formulated.
Received: 30.11.2001
Bibliographic databases:
Document Type: Article
MSC: 76D05, 58D30, 37N10, 58D25
Language: Russian
Citation: D. A. Zakora, N. D. Kopachevsky, “On small motions and normal oscillations of a hydrosystem “a viscous fluid + a system of ideal fluids””, Mat. Fiz. Anal. Geom., 9:3 (2002), 420–426
Citation in format AMSBIB
\Bibitem{ZakKop02}
\by D.~A.~Zakora, N.~D.~Kopachevsky
\paper On small motions and normal oscillations of a hydrosystem ``a~viscous fluid + a system of ideal fluids''
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 3
\pages 420--426
\mathnet{http://mi.mathnet.ru/jmag304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949797}
\zmath{https://zbmath.org/?q=an:1098.76509}
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