题目：STEADY CONCENTRATED VORTICITIES OF THE 2-D INCOMPRESSIBLE EULER EQUATION ON SMOOTH BOUNDED DOMAINS AND THEIR LINEAR STABILITY
报告人：王宇辰 博士 （南开大学）
摘要：In this talk, we consider the existence and linear stability of steady concentrated vorticities of the 2-D incompressible Euler equation on smooth bounded domains. Given any non-degenerate critical points of the Kirchhoff-Routh Hamiltonian function, we construct steady concentrated Lip- schitz continuous vorticities as well as steady concentrated piecewise constant vortex patches. Both of them are highly concentrated near the given steady vortex points configuration. Furthermore, we proved that the linear stability of such steady vortex patches are largely determined by their locations, while the linearized dynamics of their shapes are highly oscillating. This is a joint work with Yiming Long and Chongchun Zeng.
时间： 2019年5月14日 16:00-17:00