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Steady Concentrated Vorticities of the 2-D Euler Equation and their Stability

Source:   Author:  Date:2019-12-18  ClickTimes:

Speaker:Yuchen Wang

Abstract:

In this talk, we will consider the existence and uniqueness of steady concentrated vorticities of the 2-D incompressible Euler equation on smooth bounded domains and study their stability. Given steady non- degenerate point vortices configurations, we construct such steady piece- wisely constant vortex flows and study their linear stability. Steady con- centrated Lipschitz continuous vorticities are also been considered. Both of them are highly concentrated near the given steady vortex points. This talk is mainly based on a joint work with Prof. Yiming Long and Prof. Chongchun Zeng.

Time:December 19th 14:30-16:30

Venue:Lecture Hall, Nanyan, School of Mathematics and Statistics

Speaker Introduction:

Yuchen Wang graduated from Chern Institute of Mathematics, Nankai University in 2019. Now he is a postdoc in the School of Mathematics and Statistics, Central China Normal University. His main research direction is nonlinear analysis and power system.