Journal article ยท Preprint article
Critical behavior of collapsing surfaces
We consider the mean curvature evolution of rotationally symmetric surfaces. Using numerical methods, we detect critical behavior at the threshold of singularity formation resembling that of gravitational collapse. In particular, the mean curvature simulation of a one-parameter family of initial data reveals the existence of a critical initial surface that develops a degenerate neckpinch.
The limiting flow of the type II singularity is accurately modeled by the rotationally symmetric translating soliton.
Language: | English |
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Publisher: | IOP Publishing |
Year: | 2009 |
Pages: | 355205 |
ISSN: | 17518121 and 17518113 |
Types: | Journal article and Preprint article |
DOI: | 10.1088/1751-8113/42/35/355205 |