# Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems

Kazuo Aoki^{[1]}; Tetsuro Tsuji^{[2]}

- [1] Department of Mechanical Engineering and Science Kyoto University Japan
- [2] Department of Mechanical Science and Bioengineering Osaka University Japan

Séminaire Laurent Schwartz — EDP et applications (2013-2014)

- page 1-13
- ISSN: 2266-0607

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topAoki, Kazuo, and Tsuji, Tetsuro. "Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems." Séminaire Laurent Schwartz — EDP et applications (2013-2014): 1-13. <http://eudml.org/doc/275778>.

@article{Aoki2013-2014,

abstract = {Unsteady flows of a rarefied gas in a full space caused by an oscillatory motion of an infinitely wide plate in its normal direction is investigated numerically on the basis of the Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation. The present notes aim at showing the properties and difficulties inherent to moving boundary problems in kinetic theory of gases using a simple one-dimensional setting.},

affiliation = {Department of Mechanical Engineering and Science Kyoto University Japan; Department of Mechanical Science and Bioengineering Osaka University Japan},

author = {Aoki, Kazuo, Tsuji, Tetsuro},

journal = {Séminaire Laurent Schwartz — EDP et applications},

language = {eng},

pages = {1-13},

publisher = {Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique},

title = {Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems},

url = {http://eudml.org/doc/275778},

year = {2013-2014},

}

TY - JOUR

AU - Aoki, Kazuo

AU - Tsuji, Tetsuro

TI - Moving boundary problems in kinetic theory of gases: Spatially one-dimensional problems

JO - Séminaire Laurent Schwartz — EDP et applications

PY - 2013-2014

PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique

SP - 1

EP - 13

AB - Unsteady flows of a rarefied gas in a full space caused by an oscillatory motion of an infinitely wide plate in its normal direction is investigated numerically on the basis of the Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation. The present notes aim at showing the properties and difficulties inherent to moving boundary problems in kinetic theory of gases using a simple one-dimensional setting.

LA - eng

UR - http://eudml.org/doc/275778

ER -

## References

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- T. Tsuji, K. Aoki, Decay of an oscillating plate in a free-molecular gas, in 27th International Symposium on Rarefied Gas Dynamics 2010, AIP Conf. Proc. 1333, edited by D.A. Levin, I.J. Wysong, and A.L. Garcia (AIP, Melville, 2011), pp. 140–145.
- T. Tsuji, K. Aoki, Decay of a linear pendulum in a free-molecular gas and in a special Lorentz gas, J. Stat. Phys. 146, 620–645 (2012). Zbl1245.82066MR2880035
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