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On the 60th birthday of professor V.V. Kozlov

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

S. L. Ziglin

Institute of Radio-Engineering and Electronics of RAS, Mokhovaya 11-7, Moscow, 125009 Russia

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.

Received: 28.12.2009
Accepted: 23.02.2010

Language: English

DOI: 10.1134/S1560354710040155

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