José A. Carrillo教授学术报告:Aggregation-Diffusion and Kinetic PDEs for collective behavior: applications in the sciences

发布时间:2024-09-04 浏览次数:54

报告人:José A. Carrillo教授(牛津大学)

报告时间:2024年9月12日(星期四) 16:30—18:30 

报告地点:育才校区文二楼206(广西应用数学中心会议室)

 

报告题目:Aggregation-Diffusion and Kinetic PDEs for collective behavior: applications in the sciences

 

报告摘要:I will present a survey of micro, meso and macroscopic models where repulsion and attraction effects are included through pairwise potentials. I will discuss their interesting mathematical features and applications in mathematical biology and engineering.  Qualitative properties of local minimizers of the interaction energies are crucial in order to understand these complex behaviors. I will showcase the breadth of possible applications with three different phenomena in applications: segregation, phase transitions and consensus.

 

报告人简介:José A. Carrillo,牛津大学数学系数值分析与应用数学讲席教授,欧洲科学院院士、西班牙皇家科学院外籍院士、国际工业与应用数学学会会士、全球高被引科学家;主要从事偏微分方程的数学理论与数值分析研究;已在Invent Math、Duke Math J、Comm Pure Appl Math、Arch Rational Mech Anal、J European Math Soc、J Functional Anal、SIAM J Math Anal、PNAS等国际一流数学期刊上发表学术论文多篇,被SCI引用1700余次(H指数:20);现任SIAM J Math Anal、J London Math Soc、Proc London Math Soc、Bull London Math Soc等20余个高水平SCI学术期刊编委。