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학술대회/행사

초록검색

제출번호(No.) 0199
분류(Section) Invited Lecture
분과(Session) (AN) Analysis (AN)
발표시간(Time) 19th-O-14:40 -- 15:20
영문제목
(Title(Eng.))
Large increase in vorticity maximum for some 3D axisymmetric flows
저자(Author(s))
Kyudong Choi1, In-Jee Jeong2
UNIST1, Seoul National University2
초록본문(Abstract) We consider axisymmetric incompressible inviscid flows without swirl. When the axial vorticity is non-positive in the upper half space and odd in the last coordinate, we call the flow anti-parallel and we may expect a head-on collision of anti-parallel vortex rings. By establishing monotonicity and infinite growth of the vorticity impulse on the upper half-space, we obtain infinite growth of vorticity maximum at infinite time for certain classical vorticity. On the other hand, a finite but faster growth for some smooth vorticity is obtained thanks to the stability of Hill's vortex.
분류기호
(MSC number(s))
76B47, 35Q35
키워드(Keyword(s)) Vorticity, axisymmetric flow, anti-parallel, Hill's spherical vortex
강연 형태
(Language of Session (Talk))
Korean