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Flow by mean curvature of slowly rotating liquid drops toward stable energy minimisers

Wilkin-Smith, Nigel

Description

We establish sufficient conditions for uniqueness in the context of an energy minimisation property derived earlier by the author for rotating liquid drops of arbitrary dimension. In particular, we obtain unique, global solutions of an associated geometric evolution equation whenever appropriate restrictions are placed on an initial condition corresponding to a fixed angular velocity. These solutions are demonstrated to converge smoothly to a known stable minimal equilibrium, and we prove that...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/31517
Source: Mathematische Zeitschrift
DOI: 10.1007/s00209-008-0398-2

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