A class of stable energy minimisers for the rotating drop problem

DOI10.1016/j.jmaa.2006.10.051zbMath1166.76058OpenAlexW2091031203WikidataQ125687416 ScholiaQ125687416MaRDI QIDQ882041

Nigel Wilkin-Smith

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.051

zbMATH Keywords

existenceimplicit function theoremvariational techniquesboundary regularity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to problems in fluid mechanics (76M30) General theory of rotating fluids (76U05)

Related Items (3)

A criterion on instability of cylindrical rotating surfaces ⋮ Plateau's rotating drops and rotational figures of equilibrium ⋮ Flow by mean curvature of slowly rotating liquid drops toward stable energy minimisers

Cites Work

• Existence and regularity for the problem of a pendent liquid drop
• Rotating drops in a vessel
• Stability of hypersurfaces with constant mean curvature
• Rotating drops in a vessel. Existence of local minima
• Asymptotic estimates for an axisymmetric rotating fluid
• The shape of axisymmetric rotating fluid
• Existence of axisymmetric equilibrium figures
• Existence of local minima for capillarity problems
• The shape and stability of rotating liquid drops
• The stability of a rotating liquid drop
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V
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