Interdisciplinary Applied Mathematics

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Sone, Y., Aoki, K., Takata, S., Sugimoto, H., and Bobylev, A. V. (1996a). Inappropriateness of the heat-conduction equation for description of a temperature field of a stationary gas in the continuum limit: Examination by asymptotic analysis and numerical computation of the Boltzmann equation. Phys. Fluids, 8:628-638. Erratum, 1996, 8:841.


Sone, Y., Bardos, C., and Sugimoto, H. (2000). Asymptotic theory of the Boltzmann system for a steady flow of a slightly rarefied gas with a finite Mach number: General theory. Eur. J. Mech., B/Fluids, 19:325.


Sone, Y., Fukuda, T., Hokazono, T., and Sugimoto, H. (2001). Experiment on a one-way    flow    of    a rarefied    gas    through a    straight    circular    pipe    without


average temperature and pressure gradients. In Rarefied Gas Dynamics, eds. T.J. Bartel & M. Galiss, volume AIP, Melville.


Sone, Y. and Hasegawa, M. (1987). Poiseuille and thermal transpiration flows of a rarefied gas through a rectangular pipe. J. Vac. Soc. of Japan (in Japanese), 30 (5):425-428.


Sone, Y., Takata, S., and Ohwada, T. (1990). Numerical analysis of the plane Couette    flow    of    a rarefied    gas    on the    basis    of    the    linearized    Boltzmann


equation for hard-sphere molecules. Eur. J. Mech., B/Fluids, 9:273-288.


Sone, Y., Waniguchi, Y., and Aoki, K. (1996b). One-way flow of a rarefied gas induced in a channel with periodic temperature distribution. Phys. Fluids, 8:2227.


Sone, Y. and Yoshimoto, M. (1997). Demonstration of a rarefied gas flow induced near the edge of a uniformly heated plate. Phys. Fluids, 9:3530-3534.


Sparrow, E. M., Lundgren, T. S., and Lin, S. H. (1962). Slip flow in the entrance region of a parallel channel. In Proc. Heat Transfer and Fluid Mechanics Institute, Stanford, pages 223-238.

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