(自组织粒子系统和涌现行为学术会议)
地点：2号学院楼2432会议室
时间：2026/4/24 9:20-2026/4/25 11:30
如需参会请联系组委会 杜玲珑
已确认的大会报告及摘要（按照确认顺序）
1. Qinghua Xiao
Title: The non-cutoff Vlasov-Poisson-Boltzmann system with weak collisions
Abstract: We will present the global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. Moreover, enhanced dissipation of the solution and Landau damping for the density are established. Our proof is based on a refined velocity-weighted energy framework combined with vector-field techniques.
2. Hui Yu
Title:Moment methods for Vicsek-type kinetic equations of active particles
Abstract: The Vicsek model describes the motion of aligning active particles, but the hydrodynamic theory is not fully resolved. This paper investigates a unified moment-closure framework for three Vicsek-type kinetic equations, covering Fokker-Planck models of Degond-Vicsek and Degond-Frouvelle-Liu type, as well as Bertin’s Boltzmann formulation. Using a simple PN closure, where higher-order Fourier moments are truncated, we systematically derive finite-dimensional moment systems from the underlying kinetic equations. Within this unified setting, we analyse the collision operators and characterize the sets of spatially homogeneous equilibria, i.e. moment states where the collision terms vanish. The structure of equilibria and their dependence on noise and model parameters are explicitly identified for low-order closures. We further study the linear stability of homogeneous equilibria under spatial perturbations and derive necessary stability conditions at the hydrodynamic level. The analysis is further supported by numerical tests. This work provides a transparent comparison of Vicsek-type models through a common moment-based description.
3. Xiongtao Zhang
Title: Collective behaviors in Stochastic CS model
Abstract: In this talk, I will discuss some works on the stochastic Cucker–Smale (CS) model subject to multiplicative common noise. The primary focus is on establishing the emergence of flocking behavior even when the communication weight function lacks a positive lower bound. Additionally, I will present results on the emergence ofconditional flockingin the stochastic CS framework. These findings recover the classical deterministic flocking results as a special case when the noise intensity vanishes, thereby providing a stochastic extension of the original theory.
4. Ming Mei
Title: Traveling Waves for Burgers-Fisher-KPP Equations with Singularity
Abstract: In this talk, I will present a recent study on Burgers-Fisher-KPP equation with singular slow/fast diffusion and singular/regular convection in the form of$u_t-D\Delta u^m+\alpha(u^p)_x=f(u)$ with $m,\,p>0$, focusing on the existence, non-existence, regularity and stability of traveling waves. The values of m and p essentially affect the existence/non-existence of regular/sharp traveling waves as well as their regularity. By combining phase-plane analysis and variational techniques, we obtain a complete classification of existence/non-existence of regular/sharp traveling waves related to m and p. In the singular regimes with 0<p<1 or 0<m<1, where the convection or diffusion exhibit strong singularity at u=0, we introduce a change of variables to overcome the singularity, thereby deriving existence/non-existence results characterized by the minimal convection coefficient. Finally, for the case of slow diffusion $m>1$ with convex convection p>1, we prove the stability of non-critical traveling waves via $L^{1}$-weighted energy method. This is a joint work with Zhuangzhuang Wang, Rui Huang, Zejia Wang and Wenhuan Liang.
5. Jie Liao
Title: A Kinetic Theory for Complex Behavioral Economics
Abstract: Classical kinetic theory, rooted in the statistical mechanics of inert particles, has proven remarkably successful in describing gases and fluids. However, socio-economic systems consist of living, cognitive entities that learn, adapt, and strategize, with behaviors that defy the assumptions of binary, local, and conservative interactions. This talk introduces a paradigm shift to the kinetic theory of active particles (KTAP). We trace the evolution from the Boltzmann equation to generalized kinetic frameworks that accommodate heterogeneous agents, nonlinear and nonlocal interactions, learning-decision cycles, and multi‑dynamics.
6. Zhengyan Luo
Title: Collective dynamics of the confined kinetic Cucker-Smale model with non-compact support
Abstract: In this talk, I will present a recent study on the kinetic Cucker-Smale model with external harmonic potential and non-compactly supported initial data. The external potential tends to compete with the alignment which makes the large time behavior significantly different from the original kinetic Cucker-Smale model. We establish an unconditional flocking behavior with algebraic convergence of velocities and positions towards a harmonic oscillator. A carefully designed Lyapunov fluctuation functional and modified position-velocity moments are introduced, which, together with a time-dependent position–velocity space splitting method, enable us to characterize the emergent dynamics determined by physically relevant initial distributions. This is a joint work with Linglong Du.