Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability
Seiji Ukai and Kiyoshi Asano
Source: Publ. Res. Inst. Math. Sci. Volume 22, Number 6 (1986), 1035-1062.
Primary Subjects: 76P05
Secondary Subjects: 35Q20, 45K05, 82A40
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.prims/1195177061
Mathematical Reviews number (MathSciNet):
MR879996
Zentralblatt MATH identifier:
0627.76089
Digital Object Identifier: doi:10.2977/prims/1195177061
References
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Zentralblatt MATH:
0462.76077
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Mathematical Reviews (MathSciNet):
MR576265
Zentralblatt MATH:
0434.76066
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Mathematical Reviews (MathSciNet):
MR89373
Zentralblatt MATH:
0078.10004
[4] Nishida, T. and Imai, K., Global solutions to the initial value problem for the non-linear Boltzmann equation, Publ. R.I.M.S., Kyoto Univ., 12, (1976) 229-239.
Mathematical Reviews (MathSciNet):
MR432105
Zentralblatt MATH:
0344.35003
[5] Shizuta, Y. and Asano, K.. Global solutions of the Boltzmann equation in a bounded domain, Proc. Japan Acad., 53, Ser. A, (1977) 3-5.
Mathematical Reviews (MathSciNet):
MR466988
Zentralblatt MATH:
0382.35047
[6] Ukai, S., On the existence of global solutions of a mixed problem for the nonlinear Boltzmann equation, Proc. Japan Acad., 50,(1974) 179-184.
Mathematical Reviews (MathSciNet):
MR363332
Zentralblatt MATH:
0312.35061
[7] Ukai, S., LCS solutions globales de Fequation de Boltzmann dans l'espace tout entier et dans le demi-espace, C. R. Acad. Sci., Paris, 282A, (1976) 317-320.
Mathematical Reviews (MathSciNet):
MR445138
Zentralblatt MATH:
0345.45012
[8] Ukai, S. and Asano, K., On the Cauchy problem of the Boltzmann equation with soft potentials, Publ. R.I.M.S. Kyoto Univ., 18, (1982) 477-519.
Mathematical Reviews (MathSciNet):
MR677262
Zentralblatt MATH:
0538.45011
[9] Ukai, S. and Asano, Steady solutions of the Boltzmann equation for a gas flow past an obstacle, I. Existence, Arch. Rat. Mech. Anal. 84, (1983) 249-291.
Mathematical Reviews (MathSciNet):
MR714977
Zentralblatt MATH:
0538.76070
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