Abstract
According to kinetic theory, a gas in normal conditions (no chemical reactions, no ionization phenomena, etc.) is formed of elastic molecules rushing hither and thither at large speeds, colliding and rebounding according to the laws of elementary mechanics. Within the scope of these notes (except in some remarks), the molecules of a gas will be assumed to be perfectly elastic spheres, or center of forces that move according to the laws of classical mechanics. Thus, e.g., if no external forces, such as gravity, are assumed to act on the molecules, each of them will move in a straight line unless it happens to strike another molecule or a solid wall.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
C. Cercignani, Transp. Theory Stat. Phys., 211–225 (1972).
O. Lanford, III, in Dynamical Systems, Theory and Applications, J. Moser, Ed., LNP 35, 1–111, Springer, Berlin (1975).
C. Cercignani, The Boltzmann Equation and its Applications, Springer, New York (1988).
R. Illner and M. Pulvirenti, Commun. Math. Phys. 105, 189–203 (1986)
R. Illner and M. Pulvirenti, Comm. Math. Phys. 121 (1989), no.l, 143–146.
C. Cercignani, Mathematical Methods in Kinetic Theory, Plenum Press, New York (1969; revised edition 1990).
G. A. Bird, in Rarefied Gas Dynamics, S. S. Fischer, Editor, Vol. I, 239–255, AIAA, New York, (1981).
L. Arkeryd, Arch. Rat Mech. Anal. 45, 17–34 (1972).
C. Cercignani, J. Stat. Phys. 58, 817–824 (1990).
L. Arkeryd and C. Cercignani, Rend. Mat. Acc. Lincei s.9,11, 139–149 (1990).
L. Boltzmann, Sitzungsberichte der Akademie der Wissenschaften, Wien 74, 503–552 (1876).
C. Truesdell and R. G. Muncaster, Fundamentals of Maxwell’s Kinetic Theory of a Simple Monatomic Gas, Academic Press, New York (1980).
P. L. Bhatnagar, E. P. Gross and M. Krook, Phys. Rev. 94, 511 (1954).
P. Welander, Arkiv Fysik 7, 507 (1954).
L. H. Holway, Jr., Ph. D. Thesis, Harvard (1963).
C. Cercignani and G. Tironi, in Rarefied Gas Dynamics, C. L. Brundin, Ed.,Vol. I, 441, Academic Press, New York (1967).
L. Sirovich, Phys. Fluids 5, 908 (1962).
J. L. Lebowitz, H. L. Frisch and E. Helfand, Phys. Fluids 3, 325 (1960).
T. F. Morse, Phys. Fluids 7, 2012 (1964).
F. B. Hanson and T. F. Morse, Phys. Fluids 10, 345 (1967).
I. Kuscer, in Fundamental Problems in Statistical Mechanics IV, E. G. D. Cohen and W. Fiszdon, Eds., 441–467, Ossolineum, Warsaw (1978).
C. Cercignani “Scattering kernels for gas-surface interaction” (Antibes, 1990).
C. Cercignani, in Transport Theory, G. Birkhoff et al, eds., SIAM-AMS Proceedings, Vol. I, p.249, Providence (1968).
I. Kuscer, in Transport Theory Conference, AEC Report ORO-3588-1, Blacks-burgh, Va. (1969).
C. Cercignani and M. Lampis, Transport Theory and Stat. Phys. 1, 101–114 (1971).
I. Kuscer, Surface Science 25, 225 (1971).
C. Cercignani, Transport Theory and Stat Phys. 2, 27–53 (1972).
K. Bärwinkel and S. Schippers, in Rarefied Gas Dynamics: Space-Related Studies E. P. Muntz, D. P. Weaver and D. H. Campbell, eds., 487–501, AIAA, Washington (1989).
J. C. Maxwell, Phil Trans. Royal Soc. 170, 231–256, Appendix (1879).
S. Nocilla, in Rarefied Gas Dynamics, L. Talbot, ed., 169, Academic Press, New York (1961)
F. Hurlbut and F. S. Sherman, Phys. Fluids 11, 486–496 (1968).
M. N. Kogan, Rarefied Gas Dynamics, Plenum Press, New York (1969).
I. Kuscer, J. Mozina and F. Krizanic, in Rarefied Gas Dynamics, Dini et al, eds., Vol. I, 97–108, Editrice Tecnico-Scientifica, Pisa (1974).
M. Knudsen, The Kinetic Theory of Gases, Methuen, London (1950).
T. G. Cowling, J. Phys. D. Appl Phys. 7, 781–785 (1974).
M. M. R. Williams, J. Phys. D. Appl Phys. 4, 1315 (1971).
C. Cercignani, in Rarefied Gas Dynamics, D. Dini et al eds.,vol. I, 75–96, Editrice Tecnico-Scientifica, Pisa (1974).
R. C. Blanchard, Paper No. ICAS 86-2.10.1, 15th ICAS Congress, London (September 1986).
J. S. Darrozès and J. P. Guiraud, C. R. A. S. (Paris) A262, 1368–1371.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Basel AG
About this chapter
Cite this chapter
Cercignani, C., Sattinger, D.H. (1998). Boltzmann Equation and Gas Surface Interaction. In: Scaling Limits and Models in Physical Processes. DMV Seminar, vol 28. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8810-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8810-3_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-5985-0
Online ISBN: 978-3-0348-8810-3
eBook Packages: Springer Book Archive