Collision in Dissipative Systems - A Role of Hidden Instabilities -
Time: 2022-12-20
Published By: Wenqiong Li
Speaker(s): Yasumasa Nishiura (Hokkaido University)
Time: 14:00-15:00 December 26, 2022
Venue: Online
Abstract: Collision is one of the most ubiquitous phenomena for moving localized patterns arising in binary fluids, chemical blobs, discharge phenomena, and biology. Collision is one way of communication with other individuals or environments, especially in biology. There are two categories: one is weak collision (interaction through tails) and the other is strong one (main bodies are merged). The interesting thing is a role of instabilities hidden (or embedded) in those localized patterns. In fact, even if they are asymptotically stable when isolated, hidden instabilities may come out at collision and change the fate of them. This may not be a surprising thing when interaction is strong enough, however, for instance, annihilation could occur even for an arbitrary weak collision. From dynamical system view point, this originates in a shrinkage of the basin size.
I will briefly explain a short history of collision dynamics, then discuss about how hidden instabilities play a key role in collision dynamics.
Speaker: Yasumasa Nishiura is currently a Distinguished Professor/Professor Emeritus of Hokkaido University since October 2019. He also served as the Program director of PRESTO and CREST of Alliance for breakthrough between Mathematics and Sciences funded by JST during 2007 - 2016. Recognition including Autumn Prize of Mathematical Society of Japan 2002 and a Prizes for Science and Technology of the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology 2012 and many others.
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