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Vidéo Année : 2015

Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)

Afficher 

Fanny Bastien
Jérémy Magnien
  • Fonction : Monteur
  • PersonId : 966327

Résumé

The course covers two separate but closely related topics. The first topic is the mean curvature flow in the framework of GMT due to Brakke. It is a flow of varifold moving by the generalized mean curvature. Starting from a quick review on the necessary tools and facts from GMT and the definition of the Brakke mean curvature flow, I will give an overview on the proof of the local regularity theorem. The second topic is the reaction-diffusion approximation of phase boundaries with key words such as the Modica-Mortola functional and the Allen-Cahn equation. Their singular perturbation problems are related to objects such as minimal surfaces and mean curvature flows in the framework of GMT.

Dates et versions

medihal-01317118 , version 1 (08-06-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01317118 , version 1

Citer

Yoshihiro Tonegawa, Fanny Bastien, Jérémy Magnien. Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1): Summer School 2015 - Geometric measure theory and calculus of variations: theory and applications. 2015. ⟨medihal-01317118⟩
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