Transition-layer patterns in mass-conserving reaction-diffusion systems for modeling phase separation and pattern formation

讲座题目：Transition-layer patterns in mass-conserving reaction-diffusion systems for modeling phase separation and pattern formation
讲座时间 Datetime:2025年12月26日， 周五， 9：00-12：00
地点 Venue: 海琴二号A457
主持人 Host：唐德 副教授
报告人 Speaker:  何小清 教授
单位 Affiliation: 华东师范大学
报告摘要 Abstract: 
Mass-conserving reaction-diffusion (MCRD) models are widely used to describe phase separation and pattern formation in cell polarization, biomolecular condensates, and ecological systems. Numerical simulations and formal asymptotics suggest that these models can support stationary patterns with sharp internal interfaces, but a rigorous mathematical foundation for such transition-layer patterns has been missing. In this talk，we establish the existence of radially symmetric stationary patterns with internal transition layers in a class of singularly perturbed MCRD systems.

报告人简介：
何小清：华东师范大学教授，博导，国家级青年人才计划入选者。主要研究兴趣包括空间异性的非线性椭圆型和抛物型偏微分方程/方程组，及其在种群生态学中的应用，在CPAM、JEUS、SIAMADS、JDE、CVPDE、JMB，DCDS等国际数学期刊发表多篇学术论文。