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题目：Time-Delayed Reaction-Diffusion Equations with Boundary Effect

报告人：张凯军教授 (东北师范大学)

摘要：This talk is concerned with time-delayed reaction-diffusion equations on half space $ R_-$ with boundary effect. When the birth rate function is non-monotone, the solution of the delayed equation subjected to appropriate boundary condition is proved to  converge time-exponentially to a certain (monotone or non-monotone) traveling wave profile with wave speed $c>c_*$, where $c_*>0$ is the minimum wave speed,  when the initial data is a small perturbation around the wave, while the wave is shifted far away from the boundary so that the boundary layer is sufficiently small. The adopted method is the technical weighted-energy method with some new flavors to handle the boundary terms. However, when the birth rate function is monotone under consideration, then, for all traveling waves with $c>c_*$, no matter what size of the boundary layers is, these monotone traveling waves are always globally stable.

时间：11月23日(周三)下午 4：20--5:20

地点：首都师范大学校本部理科楼208教室

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