A simple proof of the linear instability of rotating liquid drops

DOI10.1007/S11565-008-0042-4zbMath1248.76059OpenAlexW1971791736MaRDI QIDQ1042571

Mariarosaria Padula, Vsevolod A. Solonnikov

Publication date: 14 December 2009

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-008-0042-4

zbMATH Keywords

nonlinear stabilitylinear instabilityrotating dropsself-gravitating incompressible fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (4)

Inversion of the Lagrange Theorem in the Problem of Stability of Rotating Viscous Incompressible Liquid ⋮ 85 anniversary of Professor Vsevolod Alekseevich Solonnikov ⋮ Instability of a rotating fluid ⋮ Loss of control of motions from initial data for pending capillary liquid

Cites Work

• Inversion of Lagrange's theorem for a rigid body with a cavity containing a viscous liquid
• Elastic materials with two stress-free configurations
• On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid
• On Instability of Equilibrium Figures of Rotating Viscous Incompressible Liquid
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