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Forced convex mean curvature flow in Euclidean spaces |
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| Authors: | Guanghan Li Isabel Salavessa |
| Affiliation: | 1.School of Mathematics and Computer Science,Hubei University,Wuhan,People’s Republic of China;2.Centro de Física das Interac??es Fundamentais,Instituto Superior Técnico, Technical University of Lisbon,Lisboa,Portugal |
| Abstract: | We show the mean curvature flow of convex hypersurfaces in Euclidean spaces with a general forcing term 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 converge to a round sphere in special cases. Long time existence and convergence of the normalization of the flow are studied. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) Primary 53C44 35K55 Secondary 53A05 |
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