일정

De Giorgi's Minimizing Movements

기간 : 2024-05-03 ~ 2024-05-03
시간 : 15:00 ~ 17:00
개최 장소 : Math bldg. 404
개요
De Giorgi's Minimizing Movements
분야Field
날짜Date 2024-05-03 ~ 2024-05-03 시간Time 15:00 ~ 17:00
장소Place Math bldg. 404 초청자Host
연사Speaker Dohyun Kwon 소속Affiliation University of Seoul
TOPIC De Giorgi's Minimizing Movements
소개 및 안내사항Content

Title : De Giorgi's Minimizing Movements

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.

학회명Field De Giorgi's Minimizing Movements
날짜Date 2024-05-03 ~ 2024-05-03 시간Time 15:00 ~ 17:00
장소Place Math bldg. 404 초청자Host
소개 및 안내사항Content

Title : De Giorgi's Minimizing Movements

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.

성명Field De Giorgi's Minimizing Movements
날짜Date 2024-05-03 ~ 2024-05-03 시간Time 15:00 ~ 17:00
소속Affiliation University of Seoul 초청자Host
소개 및 안내사항Content

Title : De Giorgi's Minimizing Movements

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.

성명Field De Giorgi's Minimizing Movements
날짜Date 2024-05-03 ~ 2024-05-03 시간Time 15:00 ~ 17:00
호실Host 인원수Affiliation Dohyun Kwon
사용목적Affiliation 신청방식Host University of Seoul
소개 및 안내사항Content

Title : De Giorgi's Minimizing Movements

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.

Admin Admin · 2024-02-20 10:32 · 조회 639
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