Monthly Archives: June 2019


日時: 2019年7月23日(火)16:15-17:15
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟)3階 b3n03室(航空宇宙工学専攻会議室)
講演: Compressible fluid approximation for rarefied gases in bounded domains
Prof. Renjun Duan (Department of Mathematics, The Chinese University of Hong Kong, Hong Kong)
要旨: In this talk I will talk about two recent results on the mathematical justification of the compressible viscous fluid approximation of solutions to the Boltzmann equation in bounded domains when the Knudsen number is small. The first result is concerned with the situation where the diffusive reflection boundary condition is considered and the fluid equations are solved under the non-slip boundary conditions. The second result is focused on a specific case of the one-dimensional heat transfer for a steady rarefied gas flow between two parallel plates with diffusive reflection boundaries of different temperatures where the temperature difference is small but does not depend on the Knudsen number, and we show the existence of steady solutions by taking the approximation of fluid equations with slip boundaries together with the Knudsen layer equations.