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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
69/2001

A variational problem arising from Mullins-Sekerka problem

Masato Kimura and Stephan Luckhaus

Abstract

We consider a geometric minimizing problem which arises in time discretization of the Mullins-Sekerka problem. Some new geometric estimate for the shape of the global minimizer is presented. We also show that such a geometric estimate is useful to improve standard norm estimates.

Received:
Sep 25, 2001
Published:
Sep 25, 2001

Related publications

Preprint
2001 Repository Open Access
Masato Kimura and Stephan Luckhaus

A variational problem arising from Mullins-Sekerka problem