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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
30/1998

Loss of convexity of simple closed curves moved by surface diffusion

Yoshikazu Giga and Kazuo Ito

Abstract

We rigorously prove that there exists a simple, strictly convex, smooth closed curve which loses convexity but stays simple without developing singularities when it moves by its surface diffusion for a short time.

Received:
Jul 6, 1998
Published:
Jul 6, 1998

Related publications

inBook
1999 Repository Open Access
Yoshikazu Giga and Kazuo Ito

Loss of convexity of simple closed curves moved by surface diffusion

In: Topics in nonlinear analysis / Joachim Escher (ed.)
Basel ; Boston ; Berlin : Birkhäuser, 1999. - pp. 305-320
(Progress in nonlinear differential equations and their applications ; 35)