Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mullins-Sekerka as the Wasserstein flow of the perimeter   We prove the convergence of an implicit time discretization for the one-phase
Mullins-Sekerka equation, possibly with additional non-local repulsion,
proposed in [F. Otto, Arch. Rational Mech. Anal. 141 (1998) 63--103]. Our
simple argument shows that the limit satisfies the equation in a distributional
sense as well as an optimal energy-dissipation relation. The proof combines
arguments from optimal transport, gradient flows & minimizing movements, and
basic geometric measure theory.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex