- Title
- A sixth order curvature flow with boundary conditions
- Creator
- McCoy, James; Wheeler, Glen; Wu, Yuhan
- Relation
- ARC.DP150100375 http://purl.org/au-research/grants/arc/DP150100375
- Relation
- Tohuko Mathematical Journal Vol. 72, Issue 3, p. 379-393
- Publisher Link
- http://dx.doi.org/10.2748/tmj/1601085621
- Publisher
- Tohoku Daigaku Suugaku Kyoshitsu
- Resource Type
- journal article
- Date
- 2020
- Description
- For small-energy initial regular planar curves with generalised Neumann boundary conditions, we consider the steepest-descent gradient flow for the L2-norm of the derivative of curvature with respect to arc length. We show that such curves between parallel lines converge exponentially in the C∞ topology in infinite time to straight lines
- Subject
- curvature flow; Neumann boundary condition; sixth order parabolic equation
- Identifier
- http://hdl.handle.net/1959.13/1452492
- Identifier
- uon:44443
- Identifier
- ISSN:0040-8735
- Language
- eng
- Reviewed
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