The case of very soft potentials
With F. Golse and Luis Silvestre, we uploaded a new paper entitled: Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials. HAL | arxiv
Summary: We prove that the set of singular times for weak solutions of the homogeneous Boltzmann equation with very soft potentials constructed as in Villani (1998) has Hausdorff dimension at most |γ+2s|/2s with γ∈[−4s,−2s) and s∈(0,1).