Zhixu Hua

A Periodic Long-Time Boltzmann–Grad Limit in Every Fixed Dimension d ≥ 4 via Two-Landing-Root Packets

We prove a long-time Boltzmann–Grad limit for hard spheres on the periodic torus in every fixed spatial dimension d ≥ 4. The componentwise long-bond estimate used in dimensions two and three does not provide the power required in higher dimensions. We replace it by a joint two-su...