On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid

DOI10.1090/S1061-0022-05-00855-1zbMath1068.35092OpenAlexW2998359068MaRDI QIDQ4675557

Vsevolod A. Solonnikov

Publication date: 4 May 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00855-1

zbMATH Keywords

Navier-Stokes equationsviscous incompressible capillary fluidnonstationary free boundary problem

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Rotation in hydrodynamic stability (76E07)

Related Items (4)

Rotation problem for a two-phase drop ⋮ Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension ⋮ \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container ⋮ On the stability of uniformly rotating liquid in a weak magnetic field

Cites Work

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• Estimate of the generalized energy in a free-boundary problem for a viscous incompressible fluid
• On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop
• The shape and stability of rotating liquid drops

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