Global stability and scattering theory for non-cutoff Boltzmann equation with soft potentials in the whole space: weak collision regime}

Ling-Bing He, Wu-Wei Li

A Traveling Maxwellian $\mathcal{M}=\mathcal{M}(t,x,v)$ represents a traveling wave solution to the Boltzmann equation in the whole space ${\mathbb{R}}_x^3$(for the spatial variable). Th…