I-KUN CHENLiu, T.-P.T.-P.LiuTakata, S.S.Takata2018-09-102018-09-102014http://www.scopus.com/inward/record.url?eid=2-s2.0-84897626851&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/389821We study the boundary singularity of the fluid velocity for the thermal transpiration problem in the kinetic theory. Logarithmic singularity has been demonstrated through the asymptotic and computational analysis. The goal of this paper is to confirm this logarithmic singularity through exact analysis. We use an iterated scheme, with the "gain" part of the collision operator as a source. The iterated scheme is appropriate for large Knudsen numbers considered here and yields an explicit leading term. © 2014 Springer-Verlag Berlin Heidelberg.[SDGs]SDG13journal article10.1007/s00205-013-0714-92-s2.0-84897626851WOS:000332948200005