On the existence and stability of time-periodic graph measure solutions to nonlocal continuity equations
김수현
27동 116호
0
1858
2025.04.29 09:29
| 구분 | HYKE |
|---|---|
| 일정 | 2025-05-22(목) 18:00~20:00 |
| 세미나실 | 27동 116호 |
| 강연자 | 황규영 (Biomedical Mathematics Group, IBS) |
| 담당교수 | 하승열 |
| 기타 | HYKE-Hwarang Seminar |
HYKE-Hwarang Seminar
일시: 2025년 5월 21일 18:00 - 20:00
2025년 5월 22일 18:00 - 20:00
장소: 서울대학교 수리과학부 27동 116호
연사: 황규영 (Biomedical Mathematics Group, IBS)
발표제목: On the existence and stability of time-periodic graph measure solutions to nonlocal continuity equations
초록: We study existence and stability of periodic solutions to the parametrized nonlocal continuity (in short PNC) equation on the unit circle with a nonlocal velocity field. The PNC equation on the unit circle incorporates the mean-field Winfree and Kuramoto equations for synchronization as special case. We construct an invariant set and measure-valued solutions to the PNC equation, and then we restrict our attention to the graph measures and show the existence of the periodic graph measure solution. Moreover, we also show that the graph measure solution is stable in a suitable sense.
