报告题目： Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments

报 告 人：张聪晖 博士后 清华大学

邀请人：李善兵 副教授

报告时间：2021年10月01日（周五） 10：30-11：30

腾讯会议ID：654 552 178

报告人简介：张聪晖，清华大学在站博士后，2021年6月毕业于中国人民大学，研究方向为生物数学以及偏微分方程，曾在日本东北大学进行为期一年半的联合培养。已在JDE,DCDS-A,JMAA等期刊发表7篇SCI论文,目前获得清华大学水木学者资助。

报告摘要： This paper is concerned with a reaction-diffusion-ODE system in non-uniform media. The system consists of a diffusive species and a non-diffusive species and models biological pattern formation. We prove the existence of (i) stationary solutions for all values of the diffusion coefficient D by applying a generalized mountain pass lemma, (ii) stationary solutions with transition layer for D sufficiently small by applying the singular perturbation method, and (iii) monotone stationary solutions for D sufficiently large by the upper and lower solution method. Also, the asymptotic stability of stationary solutions is studied.