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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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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
JOURNAL OF STATISTICAL PHYSICS
Volume:
93
Issue:
3-4
Pages:
725-776
Publication date:
1998-11-05
DOI:
ISSN:
0022-4715
URN:
uuid:d1c5a788-3558-4c08-b2f7-61dfe21d83b1
Source identifiers:
16745
Local pid:
pubs:16745

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