中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
报告人：Prof. Iftimie Dragos (Université Lyon 1, France)
题 目：Convergence of some regularized vortex sheets in the half-plane
时 间：2019.08.06（星期二）, 09 :00-10:00
地 点：数学院南楼N226室
摘 要：We consider a vortex-sheet initial data for the incompressible Euler equations on the half-plane, \textit{i.e.} a velocity field whose vorticity is a non-negative bounded measure in $H^{-1}$. We prove that the solutions of the $\alpha$--Euler equations with this initial data converge as $\alpha\to0$ to a vortex sheet solution of the incompressible Euler equations on the half-plane.
This is a joint work with V. Busuioc, M. Lopes Filho and H. Nussenzveig Lopes.
