学术报告
Stationary solutions of the FitzHugh- Nagumo equations with nondiffusive activator and diffusive inhibitor-Prof. Izumi Takagib （中国人民大学,日本东北大学）
题目：Stationary solutions of the FitzHugh- Nagumo equations with nondiffusive activator and diffusive inhibitor
报告人: Prof. Izumi Takagib （中国人民大学,日本东北大学）
Abstract： Gierer and Meinhardt proposed a system of reaction-diffusion equations based on the idea that interaction of a slowly diffusing activator and a rapidly diffusing inhibitor gives rise to spontaneous formation of patterns. This "short-range activation vs. long-range inhibition" is considered one of the fundamental principles in pattern formation. However, this idea is often used only to destabilize a spatially uniform steady state and the effect of global structure of nonlinear interactions seems to be paid less attention to.
In this talk we take up the FitzHugh-Nagumo equations as a reference model and consider pattern formation in a limiting situation where the activator does not diffuse. This ultimate "short-range" assumption is sufficient to destabilize uniform steady states. We show that (i) non-uniform steady states bifurcating from the uniform steady state are unstable, but (ii) non-uniform steady states (with jump discontinuity) far from the uniform steady state are stable.
Talk is based on a joint work with Ying Li.
时间：2016年12月9日（周五） 15:30-16:30
地点：首都师大北一区文科楼507教室
欢迎教师和研究生积极参加！
