國立清華大學 數學系

Abstract: 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. Tea Time: 3:30-4:00, R707