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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2004 Volume 318, Pages 277–297 (Mi znsl710)

This article is cited in 6 papers

On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid

V. A. Solonnikov

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

Abstract: We prove that axially symmetric equilibrium figures of uniformly rotating viscous incompressible liquid are unstable when the second variation of the energy functional can take negative values.

UDC: 517

Received: 20.10.2004

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2006, 136:2, 3812–3825

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