Moving surfaces by non-concave curvature functions
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Description
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principal curvatures remains smooth until it contracts to a point in finite time, and is asymptotically spherical in shape. No assumptions are made on the concavity of the speed as a function of principal curvatures. We also discuss motion by functions homogeneous of degree greater than 1 in the principal curvatures.
Collections | ANU Research Publications |
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Date published: | 2010 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/17393 |
Source: | Calculus of Variations and Partial Differential Equations |
DOI: | 10.1007/s00526-010-0329-z |
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File | Description | Size | Format | Image |
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01_Andrews_Moving_surfaces_by_non-concave_2010.pdf | 151.79 kB | Adobe PDF | Request a copy |
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