中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：Prof. Hantaek Bae （Department of Mathematics UNIST, Korea）
题 目：Vortex patches of Serfati
时 间：11.07(星期五), 16:00--17:00
地 点：晨兴数学中心410室
摘 要：In 1993, two proofs of the persistence of regularity of the boundary of a classical vortex patch for the 2D Euler equations were published, one by Chemin and the other by Bertozzi-Constantin. Chemin, in fact, proved a more general result, showing that vorticity initially having discontinuities only in directions normal to a family of vector fields continue to be so characterized by the time-evolved vector fields. A different, four-page 'elementary' proof of the regularity of a vortex patch boundary was published in 1994 by Ph. Serfati, employing only one vector field to describe the discontinuities in the initial data. In this talk, we discuss Serfati's proof along with a natural extension of it to a family of vector fields that reproduces the 1995 result of Chemin.
