Optimal Convergence Estimate of the Limit from Inverse Power Potential to Hard Sphere Boltzmann Equation

Zheng-Nan Hu, Jin Woo Jang, Zheng-An Yao +1

The inverse power potential $U(r)=r^{-1/s},0<s<1$, generates the Boltzmann kernel $B^s=|v-v_{\ast }{|}^{1-4s}{b}_s(\hat{I}¸)$ with an angular singularity as $\hat{I}¸\to 0$. Jang-Kepka-Nota-Velázqu…