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Axisymmetric surface diffusion: Dynamics and stability of self-similar pinchoff

Abstract:

The dynamics of surface diffusion describes the motion of a surface with its normal velocity given by the surface Laplacian of its mean curvature. This flow conserves the volume enclosed inside the surface while minimizing its surface area. We review the axisymmetric equilibria: the cylinder, sphere, and the Delaunay unduloid. The sphere is stable, while the cylinder is long-wave unstable. A subcritical bifurcation from the cylinder produces a continuous family of unduloid solutions. We prese...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF STATISTICAL PHYSICS
Volume:
93
Issue:
3-4
Pages:
725-776
Publication date:
1998-11-01
DOI:
ISSN:
0022-4715
Source identifiers:
16745
Language:
English
Keywords:
Pubs id:
pubs:16745
UUID:
uuid:d1c5a788-3558-4c08-b2f7-61dfe21d83b1
Local pid:
pubs:16745
Deposit date:
2012-12-19

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