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Nelin. Dinam., 2010, Volume 6, Number 3, Pages 567–572 (Mi nd25)  

On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid

S. L. Ziglin

Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Abstract: We prove the absence of an additional meromorphic first integral in the Riemann problem on the motion of a homogeneous liquid ellipsoid with zero angular and vortex momenta in the case of zero self-gravitation.

Keywords: Riemann problem, liquid ellipsoid, meromorphic first integral.

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Document Type: Article
UDC: 517
MSC: 70Hxx
Received: 28.12.2009

Citation: S. L. Ziglin, “On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid”, Nelin. Dinam., 6:3 (2010), 567–572

Citation in format AMSBIB
\Bibitem{Zig10}
\by S.~L.~Ziglin
\paper On the absence of an additional meromorphic first integral in the Riemann problem on the motion of a liquid ellipsoid
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 3
\pages 567--572
\mathnet{http://mi.mathnet.ru/nd25}


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