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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
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Descriptif
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.
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (…
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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
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (…
TONEGAWA Yoshihiro
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Yoshihiro Tonegawa - Analysis on the mean curvature flow and the reaction-diffusion approximation (…
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