演講者：戴佳原 博士

　　　　國家理論中心

日　期：2019年5月 27日（星期一）14:30

地　點：國立高雄大學理學院408室

講　題：Ginzburg-Landau Spiral Waves in Circular and Spherical Geometries 

摘   要：

My talk consists of two parts.

Part 1 is a 10-minute ignite talk, in which I exhibit several beautiful spiral patterns, explain two mechanisms that trigger spiral waves, and introduce three mathematical viewpoints to treat spiral waves.

Part 2 focus on Ginzburg-Landau spiral waves and I solve the existence problem of spiral waves in the circular and spherical geometries. The methodology is twofold. First, I establish a proper functional approach for bifurcation analysis. Second, I use the method of shooting curves to extend all bifurcation curves globally. Then I highlight my ongoing research on linear stability of spiral wave solutions and discuss whether stability changes under effect of noninvasive spatio-temporal delay.