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. |
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| 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. |
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| 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. |
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| 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. |
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Admin
·
2024-02-20 10:32 ·
조회 967 
