Illposedness for SQG in critical Sobolev spaces
정인지
27동 116호
0
348
2025.07.22 09:30
| 구분 | 편미분방정식 |
|---|---|
| 일정 | 2025-08-14 14:30 ~ 16:00 |
| 강연자 | 김준하 (아주대학교) |
| 기타 | |
| 담당교수 | 정인지 |
In this talk, we prove that the inviscid surface quasi-geostrophic (SQG) equation is strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^2(\mathbb{R}^2)$ without any solutions in $L^{\infty}_tH^2$. Then, we introduce similar ill-posedness results for $\alpha$-SQG and two-dimensional incompressible Euler equations. This talk is based on joint works with In-Jee Jeong(SNU), Young-Pil Choi(Yonsei Univ.), Jinwook Jung(Hanyang Univ.), and Min Jun Jo(Duke Univ.).
