Event
01_1
| 제출번호(No.) | 0071 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Kinetic Theory and Fluid Dynamics (SS-03) |
| 영문제목 (Title(Eng.)) |
Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations |
| 저자(Author(s)) |
Kyungkeun Kang2, Hwa Kil Kim3, Jae Myoung Kim1 Seoul National University 1, Yonsei University 2, Korea Institute for Advanced Study 3 |
| 초록본문(Abstract) | We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the $H^3$-norm of initial data is sufficiently small, then the regular solution exists globally in time. |
| 분류기호 (MSC number(s)) |
76A05, 76D05, 49N60 |
| 키워드(Keyword(s)) | non-Newtonian fluid, Navier-Stokes equations, regular solution |
| 강연 형태 (Language of Session (Talk)) |
Korean |