具有硬势和中等角奇点的Kac过程
Kac's Process with Hard Potentials and a Moderate Angular Singularity
摘要：
本文研究了Kac的多粒子气体动力学随机模型在硬势中具有中等角度奇异性的情形，证明了非截断粒子系统可以作为截断系统的极限，其速率与粒子数$N$无关.作为结果，我们得到了相应的玻尔兹曼方程的适定性结果，以及粒子系统在极限$N\rightarrow \infty$中的收敛性。
英文摘要：
We investigate Kac's many-particle stochastic model of gas dynamics in the case of hard potentials with a moderate angular singularity, and show that the noncutoff particle system can be obtained as the limit of cutoff systems, with a rate independent of the number of particles $N$. As consequences, we obtain a wellposedness result for the corresponding Boltzmann equation, and convergence of the particle system in the limit $N\rightarrow \infty$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
