地点：行健楼学术活动室526
邀请人：许刚教授
摘要: Kelvin-Stuart vortices are classical mixing layer flows with many applications in fluid mechanics, plasma physics and planetary rings. We prove that the whole family of Kelvin-Stuart vortices is nonlinearly stable for co-periodic perturbations, and linearly unstable for multi-periodic or modulational perturbations. Kelvin-Stuart cat's eyes also appear as magnetic islands which are magnetostatic equilibria for the 2D ideal MHD equations in plasmas. We prove nonlinear stability of the magnetic islands for co-periodic perturbations, and give a rigorous proof of the coalescence instability.
主讲人简介：朱昊，南京大学数学系，助理研究员，主要研究方向是流体运动稳定性，在Comm. Math. Phys.，Arch. Ration. Mech. Anal.等高水平杂志上发表多篇文章。
