V. A. Solonnikov, “Instability of rotating fluid”, Zap. Nauchn. Sem. POMI, 2009, Volume 370,Pages <nobr>160

This article is cited in 1 paper

Instability of rotating fluid

V. A. Solonnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The paper is concerned with the problem of stability of uniformly rotating viscous incompressible self-gravitating liquid bounded by a rotationally symmetric free surface. It is proved that it is unstable, if the second variation of the energy functional is not positive. Bibl. – 11 titles.

Key words and phrases: rotating fluid, equilibrium figure instability.

UDC: 517.589

Received: 15.11.2009

Language: English