Speaker : Jia-Yuan Dai (NCTS)
Title : Ginzburg-Landau spiral waves in circular and spherical geometries
Time : 2020-09-30 (Wed) 15:00 - 16:30
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Self-organized spiral waves have been observed in physiology, chemistry, and physics. However, even on the existence of spiral waves, only a few rigorous mathematical results are available. Among various models describing spiral waves, we focus on the significant complex Ginzburg-Landau equation, because its global gauge symmetry offers an advantage for mathematical analysis.
The framework of my research is a trilogy: existence, (in-)stability, and delayed feedback stabilization. The existence and (in-)stability of spiral waves results from a global bifurcation analysis. Then we adopt a noninvasive delayed feedback control to stabilize some unstable spiral waves.