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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, October 15, 2019 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Noninvasive Spatio-temporal Delay Stabilization of Rotating Waves on the Unit Circle
Jia-Yuan Dai (NCTS)

Abstract:

Unstable objects are good candidates to trigger new phenomena, but bad targets for every mean of observations. A question regarding observation arises: Can we stabilize unstable objects in a noninvasive way? In 1992 Pyragus gave an affirmative answer for ODEs, by introducing suitable time delays. It was until 2017 that Schneider generalized such ideas to PDEs, with spatio-temporal delays, and established the control triple method. I will explain this method, and her pioneering result that stabilizes unstable rotating waves on the unit circle.


 

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