The International Conference on emerging aspects of kinetic theory, nonlocal equations, and related applications
Conference introduction：
Advances in kinetic theory have revolutionized the analysis and simulation of many- particle systems, which are prevalent in both nature and engineering. This conference aims to foster the development of new theoretical and computational tools in the field of kinetic and nonlinear nonlocal equations, while also exploring the application of these models in diverse scientific disciplines.
Kinetic equations describe the collective behavior of many-particle systems, enabling the extraction of macroscopic or average information. They bridge the gap between microscopic systems, which are modeled using stochastic or deterministic ODEs, and macroscopic continuum descriptions, including hyperbolic, diffusive, or hydrodynamic equations. To date, kinetic theory has become an essential tool for studying a wide range of phenomena in fields such as plasma physics, semiconductors, quantum gases, animal swarms, and other physical and biological processes. More recently, it has also played a crucial role in the advancement of theoretical machine learning. Despite its importance, the interplay between long- and short-range interactions, transport and diffusion, and their nonlocal and nonlinear features presents significant mathematical challenges. These challenges are central to understanding equilibrium states, the stability of patterns, and their asymptotic behavior. Additionally, developing efficient computational methods that address high dimensionality while preserving key structures remains a difficult task.
On the other hand, new tools such as optimal transport and, more broadly, the cal- culus of variations, have significantly advanced the study of kinetic theory and nonlocal equations. These methods enhance our understanding of long-time asymptotics for non- linear diffusion equations and interaction models, while also facilitating the development of structure-preserving numerical schemes. In addition, scientific machine learning has emerged as a promising tool for tackling high-dimensional problems, already making a significant impact on kinetic simulations.
The aim of this workshop is to bring together leading experts in kinetic and nonlocal equations to explore a wide range of topics. These include the quantitative analysis of equations and their solution properties, such as free energy minimization, well-posedness, regularity, and long-time asymptotics, as well as the development of efficient, structure- preserving numerical methods, stochastic methods and their applications. Furthermore, we aim to foster meaningful dialogue between theoretical and numerical experts in the field to advance both areas through collaborative efforts.
Time: July.20-25, 2025
Venue: Nanshan Yisuo, East Lake Hotel（东湖宾馆南山乙所）
Address：East Lake Hotel ，142 Donghu Rd ，Wuchang District， Wuhan, Hubei, China
⟡ Organizing committee
J. A. Carrillo (University of Oxford, UK),
T. Yang (Wuhan University, China),
H. Zhao (Wuhan University, China)
⟡ Speakers：
| Jose A. Carrillo | University of Oxford, UK |
| Renjun Duan | Chinese University of Hong Kong, China |
| Lukas Einkemmer | University of Innsbruck, Austria |
| Maxime Herda | Universite de Lille, France |
| Hui Huang | University of Graz, Austria |
| Ning Jiang | Wuhan University, China |
| Shi Jin | Shanghai Jiao Tong University, China |
| Yoshiyuki Kagei | Tokyo Institute of Technology，Japan |
| Weixi Li | Wuhan University, China |
| Ke Lin | Southwestern University of Finance and Economics, China |
| Andrea Medaglia | University of Oxford, UK |
| Pan Pan Ren | City University of Hong Kong, China |
| Weiran Sun | Simon Fraser University, Canada |
| Min Tang | Shanghai Jiao Tong University, China |
| Qi Wang | Southwestern University of Finance and Economics, China |
| Zhenfu Wang | Peking University, China |
| Chaozhen Wei | University of Electronic Science and Technology of China, China |
| Difan Yuan | Beijing Normal University |
| Junhao Zhang | The Chinese University of Hong Kong, China |
| Zhiwen Zhang | University of HongKong, China |
| Zhu Zhang | The Hong Kong Polytechnic University, China |
| Zhennan Zhou | Westlake University, China |
⟡ Schedule：
⟡ Sponsors:
Tianyuan Mathematical Center in Central China
Institute for Math & AI, Wuhan
School of Mathematics and Statistics,Wuhan University
Contact:
Lingling Tang tmcc@whu.edu.cn
Jingnan Zhang zjn1105@whu.edu.cn
