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NCTS Seminar on Mathematical Biology
14:00 - 15:00, May 25, 2018 (Friday)
P512, 5th Floor, The 3rd General Building, NTHU
(清華大學綜合三館 5樓P512)
Almost Pulsating Waves in Time and Space Periodic Media
Jian Fang (Harbin Institute of Technology)


Pulsating wave has a property of recurrence up to certain time and space shifts. It plays an important role in the study of propagation dynamics for reaction-diffusion equations in time or space periodic media, but evidently it may not exist in time-space periodic media. In this talk, for a class of dynamical systems admitting the comparison principle, we construct a kind of generalized transition wave that was introduced by H. Berestycki and F. Hamel in 2012. It turns out that the constructed transition wave has a property of almost recurrence. The "almost" property reflects the joint influence of time and space periodicities. This talk is based on a joint work with Xiao Yu and Xiaoqiang Zhao.


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