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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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
Official 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

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