Kac’s Process with Hard Potentials and a Moderate Angular Singularity

We investigate Kac's many-particle stochastic model of gas dynamics in the case hard potentials with a moderate angular singularity, and show that noncutoff particle system can be obtained as limit cutoff systems, rate independent number particles $N$. As consequences, we obtain wellposedness result for corresponding Boltzmann equation, convergence $N\rightarrow \infty$.