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Diffusion of a velocity discontinuity according to kinetic theory. (English) Zbl 0219.76075

MSC:

76N15 Gas dynamics (general theory)
44A10 Laplace transform
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[1] H. Grad,Principles of the Kinetic Theory of Gases, in ”Handbuch der Physik”, edited by S. Flügge, Springer Verlag, Berlin, 1958.
[2] F. Devienne, ed.,Rarefied Gas Dynamics, Pergamon Press, 1960.
[3] L. Talbot, ed.,Rarefied Gas Dynamics, Academic Press, 1961.
[4] J. Laurmann, ed.,Rarefied Gas Dynamics, Academic Press, 1963.
[5] J. H. De Leeuw, ed.,Rarefied Gas Dynamics, Academic Press, 1965. · Zbl 0222.76072
[6] C. S. Brundin, ed.,Rarefied Gas Dynamics, Academic Press (to appear). · Zbl 0662.76102
[7] S. Chapman andT. G. Cowling,The Mathematical Theory of Nonuniform Gases, Cambridge University Press, 1939. · Zbl 0063.00782
[8] L. W. Holway, Jr., Phys. Fluids 7, 911, 1964. · Zbl 0127.41904
[9] P. F. Bhatnagar, E. P. Gross andM. Krook, Phys. Rev. 94, 511, 1954. · Zbl 0055.23609
[10] P. Welander, Arkiv f. Fysik 7, 507, 1954.
[11] D. R. Willis, Phys. of Fluids, 5, 127, 1962. · Zbl 0102.41101
[12] C. Cercignani, J. Math. Anal. and Appl., 11, 93, 1965.
[13] C. Cercignani andC. D. Pagani, Phys. of Fl., 9, 1167, 1966.
[14] C. Cercignani andF. Sernagiotto,Cylindrical Conette Flow of a Rarefied Gas, submitted to Phys. of Fl. for publication.
[15] P. Bassanini, C. Cercignani andP. Schwendimann,The Problem of a Cylinder Rotating in a Rarefield Gas, in Ref. [6] (to appear).
[16] C. Cercignani, in Ref. [4], Vol. II, p. 92, 1963.
[17] C. Cercignani andA. Daneri, J. Appl. Phys. 34, 3509, 1963.
[18] C. Cercignani, J. Math. Anal. and Appl., 12, 254, 1965.
[19] C. Cercignani andF. Sernagiotto, Phys. of Fluids 9, 40, 1966.
[20] P. Bassanini, C. Cercignani andF. Sernagiotto, Phys. of Fluids 9, 1174, 1966.
[21] P. Bassanini, C. Cercignani andC. D. Pagani,Comparison of Kinetic Theory Analyses of Linearized Heat Transfer Between parallel Plates, The Intern. Jour. of Heat and Mass Transfer (in press).
[22] C. Cercignani andC. D. Pagani,Variational Approach to Rarefied Flows in Cylindrical and Spherical Geometry, in Ref. [6] (to appear).
[23] C. Cercignani andF. Sernagiotto, in Ref. [5], Vol. I, p. 332, 1965.
[24] L. Sirovich andJ. K. Thurber, in Ref. [4], Vol. I, p. 159, 1963.
[25] L. Sirovich andJ. K. Thurber, in Ref. [5], Vol. I, p. 21, 1965.
[26] E. P. Gross andE. A. Jackson, Phys. of Fluids, 2, 432, 1959. · Zbl 0087.19901
[27] L. Sirovich, Phys. of Fluids 5, 908, 1962. · Zbl 0118.23602
[28] C. Cercignani andG. Tironi,Il Nucvo Cimento, 43B, 64, 1966.
[29] C. Cercignani andG. Tironi,Alcune Applicazioni di un Nnovo Modello dell’Equazione di Boltzmann Linearizzata, Proceedings of the AIDA-AIR Meeting, Naples, 1965 (to be published).
[30] L. H. Holway, Jr.,New Statistical Models for Kinetic Theory: Methods of Construction, Phys. of Fluids (to be published).
[31] L. H. Holway, Jr.,Sound Propagation in a Rarefield Gas Calculated from Kinetic Theory by Means of a Statistical Model, Raytheon Technical Memorandum, T - 578, 1964.
[32] C. Cercignani,The Method of Elementary Solutions for Kinetic Models with Velocity – Dependent Collision – Frequency, Ann. of Phys., 40, 469, 1966.
[33] C. Cercignani,Unsteady Solutions of Kinetic Models with Velocity – Dependent Collision Frequency, Ann. of Phys., 40, 454, 1966.
[34] C. Cercignani andF. Sernagiotto,Some Results about a Kinetic Model with Velocity – Dependent Collision Frequency, In Ref. [6] (to appear).
[35] Y. Sone andM. Shibata, AIAA Journal 3, 1763, 1965.
[36] C. Cercignani,Elementary Solutions of Linearized Kinetic Models and Boundary Value Problems in the Kinetic Theory of Gases, Brown University Lecture Notes, January, 1965.
[37] C. Cercignani andF. Sernagiotto, Ann. of Phys. (N. Y.), 30, 154, 1964.
[38] N. I. Muskhelishvili,Singular Integral Equations, Noordhoff, N. V., 1953. · Zbl 0051.33203
[39] F. G. Tricomi,Integral Equations, Interscience, 1957. · Zbl 0078.09404
[40] V. I. Krylov,Approximate Calculation of Integrals, The Macmillan Company, 1962. · Zbl 0111.31801
[41] G. Bienkowski, in Ref. [5], Vol. I, 71, 1965.
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