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Category
Seminar
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Date
20240503 ~ 20240503Time
15:00 ~ 17:00 -
Place
Math bldg. 404
Host
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Speaker
Dohyun Kwon
Affiliation
University of seoul
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Subject
2024-1 Math Colloquium
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Notice
Speaker : Dohyun Kwon(University of seoul)
Abstract: The study of gradient flows holds significant importance across various fields, including partial differential equations, optimization, and machine learning. In this talk, we aim to explore the relationship between gradient flows and their time-discretized formulations, known as De Giorgi's minimizing movements scheme. We focus on how De Giorgi's minimizing movements coincide with gradient flows in two different spaces: the space of sets and the space of probability measures called Wasserstein space. Then, we discuss their implications for the well-posedness and long-time behavior of some PDEs, including mean curvature flow and the nonlinear Fokker-Planck equation.
2024-1 Math Colloquium
최고관리자
2024-05-08