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 Nelin. Dinam.: Year: Volume: Issue: Page: Find

 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

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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UDC: 517
MSC: 70Hxx

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}