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Larsen, Edward W.; D’Arruda, Jose

Asymptotic theory of the linear transport equation for small mean free paths. I. (English) Zbl 0415.76057

Phys. Rev., III. Ser. A 13, 1933-1939 (1976).
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scan of Zbl 0415.76057

Cited in 1 Review
Cited in 12 Documents

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
82C70 Transport processes in time-dependent statistical mechanics

Keywords:

asymptotic theory; linear transport equation; small mean free path; interaction; rarefied gas; denser gas; external electric field; internal sources; density; average velocity
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Full Text: DOI

References:

[1] E. W. Larsen, SIAM J. Appl. Math.
[2] D. Montgomery, Phys. Fluids 14 pp 2088– (1971) · Zbl 0237.76050 · doi:10.1063/1.1693297
[3] C. S. Wang Chang, in: Studies in Statistical Mechanics 5 (1970)
[4] R. M. Mazo, J. Stat. Phys. 12 pp 422– (1975)
[5] M. V. Smoluchowski, Ann. Phys. (Leipz.) 48 pp 1103– (1915)
[6] R. Fürth, Ann. Phys. (Leipz.) 53 pp 177– (1917) · doi:10.1002/andp.19173581102
[7] S. Chandrasekhar, Rev. Mod. Phys. 15 pp 1– (1943) · Zbl 0061.46403 · doi:10.1103/RevModPhys.15.1
[8] S. Chandrasekhar, in: Selected Papers on Noise and Stochastic Processes (1954) · Zbl 0059.11903
[9] B. Davison, in: Neutron Transport Theory (1957)
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[11] W. G. N. Slinn, J. Stat. Phys. 3 pp 291– (1971) · doi:10.1007/BF01011385
[12] M. C. Wang, Rev. Mod. Phys. 17 pp 323– (1945) · Zbl 0063.08172 · doi:10.1103/RevModPhys.17.323
[13] G. J. Habetler, J. Math. Phys. 16 pp 846– (1975) · Zbl 0337.45015 · doi:10.1063/1.522618
[14] E. W. Larsen, J. Math. Phys. 15 pp 75– (1974) · doi:10.1063/1.1666510
[15] G. C. Papanicolaou, Am. Math. Soc. Bull. 81 pp 330– (1975) · Zbl 0361.60056 · doi:10.1090/S0002-9904-1975-13744-X
[16] M. N. Kogan, in: Rarefied Gas Dynamics (1969) · doi:10.1007/978-1-4899-6381-9
[17] F. Riesz, in: Functional Analysis (1970)
[18] E. W. Larsen, J. Math. Phys. 15 pp 1987– (1974) · doi:10.1063/1.1666570
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