Geodesic
Some aspects of the variational nature of mean curvature flow
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1013-1036.

Voir la notice de l'article provenant de la source EMS Press

We show that the classical solution of the heat equation can be seen as the minimizer of a suitable functional defined in space-time. Using similar ideas, we introduce a functional F on the class of space-time tracks of moving hypersurfaces, and we study suitable minimization problems related with F. We show some connections between minimizers of F and mean curvature flow.
DOI : 10.4171/jems/138
Classification : 49-XX, 35-XX, 53-XX, 00-XX
Keywords: Heat equation, space-time energy minimizers, mean curvature flow 
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     author = {Giovanni Bellettini and Luca Mugnai},
     title = {Some aspects of the variational nature of mean curvature flow},
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     pages = {1013--1036},
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     year = {2008},
     doi = {10.4171/jems/138},
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Giovanni Bellettini; Luca Mugnai. Some aspects of the variational nature of mean curvature flow. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 1013-1036. doi : 10.4171/jems/138. http://geodesic.mathdoc.fr/articles/10.4171/jems/138/

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