摘要：We study the emergent dynamics of the relativistic kinetic Cucker--Smale (RKCS)

model without assuming compactness assumptions on spatial and velocity supports.

In this setting, the lower bound of the kernel function in the nonlocal velocity

alignment force can be zero, so that the previous approach based on the energy

method does not provide a quantitative flocking estimate. To overcome this difficulty,

we introduce a suitable decay ansatz for the one-particle distribution function and

an effective domain by identifying a time-varying region in which the total mass

outside of it decays to zero asymptotically. Using these ingredients, we show that

weak flocking dynamics emerges asymptotically in the sense that the second moment

for velocity fluctuations around the velocity average tends to zero, whereas the

second moment for spatial fluctuations around the center of mass remains uniformly

bounded in time. Our results demonstrate the robustness of the emergent dynamics

in the RKCS model across various non-compact, physically important distributions,

including Gaussian distributions, sub-Gaussian distributions, and those with a

finite D-th moment.

个人简介：王新宇，哈尔滨工业大学副研究员，主持首届国自然青年员工基础研究项目博士生1项，参与国自然基金2项。发表高质量论文多篇,包括《Math. Ann.》、《Math. Models Methods Appl. Sci.》等。目前外派至首尔国立大学从事博士后工作。

邀请人：张英龙申博sunbet副研究员

时间：2025-11-19（周三）9:30 – 10:30

地点：腾讯会议：515-991-226