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arXiv · 1502.07232

Global solutions to the volume-preserving mean-curvature flow

Luca Mugnai·Christian Seis·Emanuele Spadaro
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Abstract

In this paper, we construct global distributional solutions to the volume-preserving mean-curvature flow using a variant of the time-discrete gradient flow approach proposed independently by Almgren, Taylor and Wang (SIAM J. Control Optim. 31(2): 387- 438, 1993) and Luckhaus and Sturzenhecker (Calc. Var. Partial Differential Equations 3(2): 253-271, 1995).

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Luca Mugnai, Christian Seis, Emanuele Spadaro. 2015-02-25. Global solutions to the volume-preserving mean-curvature flow. https://arxiv.org/abs/1502.07232

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