Global solutions to the volume-preserving mean-curvature flow

By Luca Mugnai, Christian Seis, Emanuele Spadaro. 2015

53 citations recorded by the source corpus.

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 et al. (SIAM J Control Optim 31(2):387–438, 1993) and Luckhaus and Sturzenhecker (Calc Var Partial Differ Equ 3(2):253–271, 1995).

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/706cc55e78f457d0594f988477c220097254cafe

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In Applied Mathematics

1. Tim Laux
2. Felix Otto
3. Cédric Villani
4. José Antonio Carrillo
5. J. Lott
6. Luigi Ambrosio
7. S. Armstrong
8. Jean-Christophe Mourrat

Citations in the corpus

• Convergence of the thresholding scheme for multi-phase mean-curvature flow (2016, result): “We also draw the reader’s attention to the recent work of Mugnai, Seis and Spadaro [32], where they prove a (conditional) convergence result as in [24] of a modification of the scheme in [2, 24] to volume-preserving mean curvature flow.”