國立清華大學 數學系

講題: Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain 講者: 陳逸昆 教授 (國立台灣大學數學系) 時間: 2017.12.25 (Mon.) 16:00 - 17:00 地點: 綜三館4F Lecture Room B 茶會: 15:30, R707 Abstract We consider the diffuse reflection boundary problem for the linearized Boltzmann equation for hard sphere potential, cutoff hard potential, or Maxwellian molecular gases in a C^2 strictly convex bounded domain. We obtain a pointwise estimate for the derivative of the solution provided the boundary temperature is bounded differentiable and the solution is bounded. Velocity averaging effect for stationary solutions as well as observations in geometry are used in this research.