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王宇辰博士后:STEADY CONCENTRATED VORTICITIES OF THE 2-D INCOMPRESSIBLE EULER EQUATION ON SMOOTH BOUNDED DO

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 王宇辰博士后，华中师范大学
Inviter: 曹道民
Title:
 STEADY CONCENTRATED VORTICITIES OF THE 2-D INCOMPRESSIBLE EULER EQUATION ON SMOOTH BOUNDED DOMAINS AND THEIR LINEAR STABILITY
Time & Venue:
 2021.05.28 14:30-15:30 南楼613教室
Abstract:
 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.

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