강연 / 세미나
PDE and Applied Analysis SeminarㅣInstantaneous velocity blow-up for the 2D Euler equations in the critical spaces
| 분야Field | |||
|---|---|---|---|
| 날짜Date | 2023-02-23 ~ 2023-02-23 | 시간Time | 16:00 ~ 17:00 |
| 장소Place | Math Bldg. 301 | 초청자Host | |
| 연사Speaker | Min Jun Jo | 소속Affiliation | University of British Columbia |
| TOPIC | PDE and Applied Analysis SeminarㅣInstantaneous velocity blow-up for the 2D Euler equations in the critical spaces | ||
| 소개 및 안내사항Content | Abstract: We construct an initial data $u_0\in C^1 \cap H^2$ such that the corresponding velocity field $u$ of the unique Yudovich solution of the 2D Euler equations escapes both $C^1$ and $H^2$ instantaneously. The vorticity-dynamical nature of our proof of $C^1\cap H^2$-illposedness provides a quantitative and non-hypothetical description of the 2D Euler flows. Our study includes the previous illposedness results by Bourgain-Li (2015) and Elgindi-Masmoudi (2020). |
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| 학회명Field | PDE and Applied Analysis SeminarㅣInstantaneous velocity blow-up for the 2D Euler equations in the critical spaces | ||
|---|---|---|---|
| 날짜Date | 2023-02-23 ~ 2023-02-23 | 시간Time | 16:00 ~ 17:00 |
| 장소Place | Math Bldg. 301 | 초청자Host | |
| 소개 및 안내사항Content | Abstract: We construct an initial data $u_0\in C^1 \cap H^2$ such that the corresponding velocity field $u$ of the unique Yudovich solution of the 2D Euler equations escapes both $C^1$ and $H^2$ instantaneously. The vorticity-dynamical nature of our proof of $C^1\cap H^2$-illposedness provides a quantitative and non-hypothetical description of the 2D Euler flows. Our study includes the previous illposedness results by Bourgain-Li (2015) and Elgindi-Masmoudi (2020). |
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| 성명Field | PDE and Applied Analysis SeminarㅣInstantaneous velocity blow-up for the 2D Euler equations in the critical spaces | ||
|---|---|---|---|
| 날짜Date | 2023-02-23 ~ 2023-02-23 | 시간Time | 16:00 ~ 17:00 |
| 소속Affiliation | University of British Columbia | 초청자Host | |
| 소개 및 안내사항Content | Abstract: We construct an initial data $u_0\in C^1 \cap H^2$ such that the corresponding velocity field $u$ of the unique Yudovich solution of the 2D Euler equations escapes both $C^1$ and $H^2$ instantaneously. The vorticity-dynamical nature of our proof of $C^1\cap H^2$-illposedness provides a quantitative and non-hypothetical description of the 2D Euler flows. Our study includes the previous illposedness results by Bourgain-Li (2015) and Elgindi-Masmoudi (2020). |
||
| 성명Field | PDE and Applied Analysis SeminarㅣInstantaneous velocity blow-up for the 2D Euler equations in the critical spaces | ||
|---|---|---|---|
| 날짜Date | 2023-02-23 ~ 2023-02-23 | 시간Time | 16:00 ~ 17:00 |
| 호실Host | 인원수Affiliation | Min Jun Jo | |
| 사용목적Affiliation | 신청방식Host | University of British Columbia | |
| 소개 및 안내사항Content | Abstract: We construct an initial data $u_0\in C^1 \cap H^2$ such that the corresponding velocity field $u$ of the unique Yudovich solution of the 2D Euler equations escapes both $C^1$ and $H^2$ instantaneously. The vorticity-dynamical nature of our proof of $C^1\cap H^2$-illposedness provides a quantitative and non-hypothetical description of the 2D Euler flows. Our study includes the previous illposedness results by Bourgain-Li (2015) and Elgindi-Masmoudi (2020). |
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Admin
·
2023-02-01 10:20 ·
조회 292 
