Differential Equations Seminar

DATE2017-08-17 13:00-14:00


SPEAKER陳逸昆 教授(台灣大學

TITLERegularity for Diffuse Reflection Boundary Problem to the Stationary Linearized Boltzmann Equation in a Convex Domain

ABSTRACT One Day Workshop on Differential Equations We consider the diffuse reflection boundary problem for 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. This talk is based on the joint work with Chun-Hsiung Hsia and Daisuke Kawagoe.