컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0167 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-08) Recent Trend in Fluid Equations (SS-08) |
| 발표시간(Time) | 20th-C-10:00 -- 10:20 |
| 영문제목 (Title(Eng.)) |
On global regularity of some bi-rotational Euler flows in $\mathbb{R}^4$ |
| 저자(Author(s)) |
Kyudong Choi1, In-Jee Jeong2, Deokwoo Lim2 UNIST1, Seoul National University2 |
| 초록본문(Abstract) | We consider incompressible Euler equations with bi-rotational symmetry and no-swirl condition in $\mathbb{R}^4$. Such solutions have rotational invariance with respect to two rotation axes. In this talk, we discuss local and global well-posedness of Yudovich-type solutions. The local existence follows from extending the work of Danchin [Uspekhi Mat. Nauk 62(2007), no.3, 73–94] for axisymmetric flows in $\mathbb{R}^3$. The global existence is obtained if the local-in-time solution satisfies additional decay conditions near the axes and at infinity. This is a joint work with Kyudong Choi(UNIST) and In-Jee Jeong(SNU). |
| 분류기호 (MSC number(s)) |
76B47, 35Q35 |
| 키워드(Keyword(s)) | Incompressible Euler equations, bi-rotational symmetry, vorticity, local regularity, Biot–Savart law, global regularity, BKM criterion |
| 강연 형태 (Language of Session (Talk)) |
Korean |