Forced Convex Mean Curvature Flow in Euclidean Spaces

Simple item page
dc.creatorLi, Guanghan
dc.creatorSalavessa, Isabel
dc.date2007-11-15
dc.date.accessioned2026-07-07T09:44:36Z
dc.date.available2026-07-07T09:44:36Z
dc.descriptionIn this paper, we consider the mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term. We show that the flow may shrink to a point in finite time if the forcing term is small, or exist for all times and expand to infinity if the forcing term is large enough. The flow can also converge to a round sphere for some special forcing term and initial hypersurface. Furthermore, the normalization of the flow is carried out so that long time existence and convergence of the rescaled flow are studied. Our work extends Huisken's well-known mean curvature flow and McCoy's mixed volume preserving mean curvature flow.
dc.description22 Pages
dc.identifierhttps://arxiv.org/abs/0711.2366
dc.identifierhttp://arxiv.org/abs/0711.2366
dc.identifierManuscripta Math. 126 (2008) 333 - 351
dc.identifierdoi:10.1007/s00229-008-0181-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162936
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44, 35K55; 53A05.
dc.titleForced Convex Mean Curvature Flow in Euclidean Spaces
dc.typetext

Files

Collections

arXiv