Preprint 43/1998

Soliton solutions for the mean curvature flow

Norbert Hungerbühler and Knut Smoczyk

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Submission date: 18. Oct. 1998
Pages: 23
published in: Differential and integral equations, 13 (2000) 10/12, p. 1321-1345 

We consider soliton solutions of the mean curvature flow, i.e. solutions which move by a symmetry group under the mean curvature flow. Several examples of solitons on manifolds are discussed. Moreover we present a local existence result for rotating solitons. We also prove global existence and stability for perturbed initial data close to a local soliton.

18.10.2019, 02:10