Y. Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 2)

Autor:	Tonegawa, Yoshihiro, Bastien, Fanny, Magnien, Jérémy
Přispěvatelé:	Bastien, Fanny
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	mean curvature flow summer school 2015 théorie géométrique de la mesure calculus of variation grenoble geometric measure theory reaction-diffusion approximation Mathematics::Differential Geometry [MATH] Mathematics [math] calcul des variations école d’été 2015 eem2015
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od_______166::d4fcd4959c948d7366bdb8deb4277523 https://hal.archives-ouvertes.fr/medihal-01317122 Zobrazit plný text záznamu