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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
43/1998

Soliton solutions for the mean curvature flow

Norbert Hungerbühler and Knut Smoczyk

Abstract

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.

Received:
Oct 18, 1998
Published:
Oct 18, 1998

Related publications

inJournal
2000 Repository Open Access
Norbert Hungerbühler and Knut Smoczyk

Soliton solutions for the mean curvature flow

In: Differential and integral equations, 13 (2000) 10/12, pp. 1321-1345