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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 2)
/ Fanny Bastien
/ 16-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le 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. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
/ Fanny Bastien
/ 15-06-2015
/ Canal-u.fr
Tonegawa Yoshihiro
Voir le résumé
Voir le 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. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Francesco Maggi - A quantitative description of almost constant mean curvature hypersurfaces
/ Fanny Bastien
/ 03-07-2015
/ Canal-u.fr
Maggi Francesco
Voir le résumé
Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Xiangyu Liang - An example of proving Almgrem's minimality by product of paired calibrations
/ Fanny Bastien
/ 02-07-2015
/ Canal-u.fr
Liang Xiangyu
Voir le résumé
Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Gian Paolo Leonardi - Towards a unified theory of surface discretization
/ Fanny Bastien
/ 02-07-2015
/ Canal-u.fr
Leonardi Gian Paolo
Voir le résumé
Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Bernd Kirchheim - Equidimensional isometric maps
/ Fanny Bastien
/ 02-07-2015
/ Canal-u.fr
Kirchheim Bernd
Voir le résumé
Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Dérivation de fonctions
/ Université de Bordeaux-I, Unisciel
/ 30-07-2010
/ Unisciel
Jequier Sophie
Voir le résumé
Voir le résumé
Cette ressource vous propose trois parcours sur la dérivation depuis les notions de bases vues en terminale jusqu'à celles requise pour une entrée en L2 mentions Mathématiques. Mot(s) clés libre(s) : dérivation, dérivée, calculus, tangente, fonction réciproque
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Alessandro Giacomini - Free discontinuity problems and Robin boundary conditions
/ 30-06-2015
/ Canal-u.fr
Giacomini Alessandro
Voir le résumé
Voir le résumé
indisponible Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Joseph Fu - Integral geometric regularity (Part 5)
/ Fanny Bastien
/ 24-06-2015
/ Canal-u.fr
Fu Joseph
Voir le résumé
Voir le résumé
In the original form given by Blaschke
in the 1930s, the famous Principal Kinematic Formula expresses the Euler
characteristic of the intersection of two sufficiently regular objects
in euclidean space, integrated over the space of all possible relative
positions, in terms of geometric invariants associated to each of them
individually. It is natural to wonder about the precise regularity
needed for this to work. The question turns on the existence of the
normal cycle of such an object A, i.e. an integral current that stands
in for its manifolds of unit normals if A is too irregular for the
latter to exist in a literal sense. Despite significant recent progress,
a comprehensive understanding of this construction remains maddeningly
elusive. In these lectures we will discuss both of these aspects. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
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Joseph Fu - Integral geometric regularity (Part 4)
/ Fanny Bastien
/ 24-06-2015
/ Canal-u.fr
Fu Joseph
Voir le résumé
Voir le résumé
In the original form given by Blaschke
in the 1930s, the famous Principal Kinematic Formula expresses the Euler
characteristic of the intersection of two sufficiently regular objects
in euclidean space, integrated over the space of all possible relative
positions, in terms of geometric invariants associated to each of them
individually. It is natural to wonder about the precise regularity
needed for this to work. The question turns on the existence of the
normal cycle of such an object A, i.e. an integral current that stands
in for its manifolds of unit normals if A is too irregular for the
latter to exist in a literal sense. Despite significant recent progress,
a comprehensive understanding of this construction remains maddeningly
elusive. In these lectures we will discuss both of these aspects. Mot(s) clés libre(s) : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
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Accéder à la ressource
|
|
|<
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