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On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain. (English) Zbl 0462.76077

MSC:
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
45K05 Integro-partial differential equations
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[1] Asano, K.: On the initial boundary value problem of the non-linear Boltzmann equation (to appear). · Zbl 0668.76085
[2] Ellis, R., and Pinsky, M.: The first and second fluid approximation to the linearized Boltzmann equation. J. Math. Pures et Appl., 54, 125-156 (1975). · Zbl 0286.35062
[3] Gard, H.: Asymptotic theory of the Boltzmann equation. II. Rarefied Gas Dynamics. Vol.1 (ed. by Lemmann, J. A.), Academic Press, New York (1963).
[4] Nishida, T., and Imai, K.: Global solutions to the initial value problem for the non-linear Boltzmann equation. Publ. R.I.M.S., 12, 229-239 (1976). · Zbl 0344.35003
[5] Ukai, S.: Les solutions globales de Pequation de Boltzmann dans Pespace tout eutier et dans le demi-espace. C. R. Acad. Sci. Paris, 289, 317-320 (1976). · Zbl 0345.45012
[6] Ukai, S.: On the exterior problem to a linearized Boltzmann equation with the reverse reflection boundary condition (preprint). · Zbl 0468.76071
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