论文标题
KAC具有艰苦电势和中等角度奇异性的过程
Kac's Process with Hard Potentials and a Moderate Angular Singularity
论文作者
论文摘要
在具有中等角度奇异性的硬势的情况下，我们研究了KAC的气体动力学多粒子随机模型，并表明可以作为截止系统的极限获得非切割粒子系统，其速率与粒子数量$ n $的数量无关。结果，我们获得了相应的玻尔兹曼方程的良好结果，并在极限$ n \ rightarrow \ infty $中收敛粒子系统。
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 $N\rightarrow \infty$.
