컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0599 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Partial Differential Equations (SS-11) |
| 영문제목 (Title(Eng.)) |
Partial regularity of Leray-Hopf solution for Navier Stokes equations |
| 저자(Author(s)) |
Hi Jun Choe1 Yonsei University1 |
| 초록본문(Abstract) | In this talk, we prove partial regularity of Navier Stokes equations for the weak solution in the sense of Leray and Hopf. After Scheffer introduced the idea of suitable weak solution, Caffarelli, Kohn and Nirenberg established a criterion of $\epsilon$ regularity and Lin simplified the proof greatly. Choe and Lewis improved the parabolic Hausdorff dimension by logarithmic factor. We show Hausdorff dimension of singular set of Leray-Hopf solution is less than one. |
| 분류기호 (MSC number(s)) |
35K20 |
| 키워드(Keyword(s)) | Navier-Stokes, Leray-Hopf solution, partial regularity, Hausdorff dimension |
| 강연 형태 (Language of Session (Talk)) |
English |