Logarithmic singularity of the moments of general local solutions to the linearized Boltzmann equation near a planar boundary
陳逸昆教授交大應用數學系 下午 2:30–4:00 鴻經館 107 室摘要：
We study the boundary singularity for the stationary solutions of the linearized Boltzmann equation with hard-sphere potential. An asymptotic formula is established for the gradient of the moments which shows the logarithmic singularity near the boundary. Our formula holds for the solutions of the Milne and Kramer problems obtained by the classical, functional analytic existence theory. Our theorem requires the Holder continuity of the boundary data and applies, in particular, to the complete condensation problem for half space.