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.

UDC: 517

MSC: 70Hxx

Received: 28.12.2009