标题： 集体动力学模型的单运动极限调制 显示英文标题

标题： Modulation of the Monokinetic Limit for Models of Collective Dynamics

摘要： 在本工作中，我们对来自动能Cucker-Smale模型到无压 Euler 对齐系统的单运动极限进行了调制分析。 考虑了两种情况——强 Fokker-Planck 力伴随消失的噪声和 Knudsen 数，以及纯无噪声 Vlasov 方案。 在前一种情况下，我们展示了调制轮廓收敛到标准高斯分布，而在后一种情况下，分布收敛到沿极限特征线满足显式传输方程的轮廓。 显示英文摘要

摘要： In this work, we perform modulation analysis of monokinetic limits from the kinetic Cucker- Smale model to the pressureless Euler alignment system. Two regimes are considered -- a strong Fokker- Planck force with vanishing noise and Knudsen number, and a pure noiseless Vlasov scheme. In the former case, we demonstrate convergence of the modulated profile to the standard Gaussian distribution, while in the latter case, the distribution converges to a profile satisfying an explicit transport equation along limiting characteristics.