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Volume-preserving flow by powers of the mth mean curvature
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Cabezas-Rivas, Esther and Sinestrari, Carlo. (2010) Volume-preserving flow by powers of the mth mean curvature. Calculus of Variations and Partial Differential Equations, Vol.38 (No.3-4). pp. 441-469. ISSN 0944-2669
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Official URL: http://dx.doi.org/10.1007/s00526-009-0294-6
Abstract
We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the mth mean curvature plus a volume preserving term, including the case of powers of the mean curvature or of the Gauss curvature. We prove that if the initial hypersurface satisfies a suitable pinching condition, the solution exists for all times and converges to a round sphere.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Calculus of Variations and Partial Differential Equations |
| Publisher: | Springer |
| ISSN: | 0944-2669 |
| Date: | July 2010 |
| Volume: | Vol.38 |
| Number: | No.3-4 |
| Number of Pages: | 29 |
| Page Range: | pp. 441-469 |
| Identification Number: | 10.1007/s00526-009-0294-6 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Leverhulme Trust (LT), DGI (Spain), FEDER, REAG, MIUR (Italy) |
| Grant number: | MTM2007-65852, MTM2008-01013-E |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5918 |
Data sourced from Thomson Reuters' Web of Knowledge
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