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math.DS2023
Arbitrarily weak head-on collision can induce annihilation -- The role of hidden instabilities
Yasumasa Nishiura, Takashi Teramoto, Kei-Ichi Ueda
In this paper, we focus on annihilation dynamics for the head-on collision of traveling patterns. A representative and well-known example of annihilation is the one observed for 1-…
math.AP2023★ 6 cited
Single Transition Layer in Mass-Conserving Reaction-Diffusion Systems with Bistable Nonlinearity
Masataka Kuwamura, Takashi Teramoto, Hideo Ikeda
Mass-conserving reaction-diffusion systems with bistable nonlinearity are useful models for studying cell polarity formation, which is a key process in cell division and differenti…