Category Archives: Publications

A paper on gradient divergence of fluid-dynamic quantities of rarefied gases on smooth boundaries

A paper “Gradient divergence of fluid-dynamic quantities in rarefied gases on smooth boundaries” coauthored with S. Taguchi has been accepted for publication in the journal of Statistical Physics [http://rdcu.be/u3p4; online first; doi: 10.1007/s10955-017-1850-7].

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A paper on generalized slip flow theory — the case of ES model

A paper “Slip/jump coefficients and Knudsen-layer corrections for the ES model in the generalized slip-flow theory” co-authored with M. Hattori and T. Hasebe has been published in the AIP Conference Proceedings 1786, 040004 (2016) [doi: 10.1063/1.4967542]. The database at the Kyoto University Research Information Repository (http://hdl.handle.net/2433/199811) has been updated, accordingly.

A paper on the macroscopic singularity through a free molecular flow analysis

A paper “Singular behavior of the macroscopic quantities in the free molecular gas” coauthored with T. Yoshida, T. Noguchi, and S. Taguchi has been published in the journal of Physics of Fluids 28(2), 022002-1-15 (2016)  [doi: 10.1063/1.4940988].
According to the publisher, the article is freely available for a period of 30 days following its publication online.

Data of the Knudsen layer functions are available.

We are happy to announce that the numerical data of the Knudsen layer functions for the asymptotic theory of the Boltzmann equation are now available from the Kyoto University Research Information Repository (http://hdl.handle.net/2433/199811).

A paper on the second-order Knudsen layer: part 2

A paper “Second-order Knudsen-layer analysis for the generalized slip-flow theory II: Curvature effects” co-authored with M. Hattori has been published  in the Journal of Statistical Physics  161(4), 1010-1036 (2015)  [doi: 10.1007/s10955-015-1364-0].

A paper on the microscopic singularity

A paper “Singularity of the velocity distribution function in molecular velocity space” co-authored with I.-K. Chen, H. Funagane, and T.-P. Liu has been published in the Communications in Mathematical Physics 341(1), 105-134 (2016) (doi: 10.1007/s00220-015-2476-8).

A paper on the second-order Knudsen layer: part 1

A paper “Second-order Knudsen-layer analysis for the generalized slip-flow theory I” co-authored with M. Hattori has been published in the Bulletin of the Institute of Mathematics, Academia Sinica (New Series) 10(3), 423-448 (2015). It is freely downloadable from here.