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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 5)
/ Fanny Bastien
/ 18-06-2015
/ 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 4)
/ Fanny Bastien
/ 17-06-2015
/ 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 3)
/ Fanny Bastien
/ 17-06-2015
/ 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 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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