Singular Behavior of the Macroscopic Quantity Near the Boundary for a Lorentz-Gas Model with the Infinite-Range Potential
Author:
Funder
Japan Society for the Promotion of Science
Osaka Vacuum Ltd.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s10955-022-02959-7.pdf
Reference29 articles.
1. Kogan, M.N.: Rarefied Gas Dynamics. Plenum Press, New York (1969)
2. Sone, Y.: Molecular Gas Dynamics. Birkhäuser, Boston (2007); supplementary notes and errata are available from KURENAI (http://hdl.handle.net/2433/66098)
3. Takata, S., Taguchi, S.: Gradient divergence of fluid-dynamic quantities in rarefied gases on smooth boundaries. J. Stat. Phys. 168, 1319–1352 (2017). https://doi.org/10.1007/s10955-017-1850-7
4. Takata, S., Funagane, H.: Singular behaviour of a rarefied gas on a planar boundary. J. Fluid Mech. 717, 30–47 (2013). https://doi.org/10.1017/jfm.2012.559
5. Chen, I.-K., Liu, T.-P., Takata, S.: Boundary singularity for thermal transpiration problem of the linearized Boltzmann equation. Arch. Ration. Mech. Anal. 212, 575–595 (2014). https://doi.org/10.1007/s00205-013-0714-9
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