A variational problem arising from Mullins-Sekerka problem

Kimura, Masato; Luckhaus, Stephan

Preprint 69/2001

A variational problem arising from Mullins-Sekerka problem

Masato Kimura and Stephan Luckhaus

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Submission date: 25. Sep. 2001
Pages: 21
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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.

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Preprint 69/2001

A variational problem arising from Mullins-Sekerka problem

Masato Kimura and Stephan Luckhaus

Preprints 2001