分科会「非平衡現象の流体力学」(第9回)

平成26年度第9回講演会(日本航空宇宙学会関西支部分科会)

日時: 平成26年12月1日(月) 14:40-15:40
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: Singularity of macroscopic variables near boundary for gases  with  cut-off  hard potential
Dr. I-Kun Chen
(Graduate School of Informatics, Kyoto University, Japan)
要旨: The boundary singularity for stationary solutions of the linearized Boltzmann equation with cut-off hard potential is analyzed. A technique of using the Holder type  continuity of the integral operator to obtain the integrability of the derivatives of  the macroscopic variables is developed. We establish the asymptotic approximation for the gradient of the moments. Our analysis indicates the logarithmic singularity of the gradient of the moments. In particular, our theorem holds for the condensation and evaporation problem.