On a functional equation in mathematical kinetic theory

Transport Theory and Statistical Physics

Volumn 26, Issue 6, 1997, Pages 639-660

  Arlotti, Luisa ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031316897     PISSN: 00411450     EISSN: None     Source Type: Journal    
DOI: 10.1080/00411459708229328     Document Type: Article

References (13)

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2. ENSKOG D. Kinetiske Theorie, Svenska Akad., 63 (1921) English Translation in Kinetic Theory, Brush S. Ed., Vol.3, Pergamon Press (1972).
3. BELLOMO N., LACHOWICZ M., POLEWCZAK J. and TOSCANI G., Mathematical Topics in Nonlinear Kinetic Theory II: The Enskog Equation, Advances in Mathematics for Applied Sciences n. 1, World Sci. (1991).
4. VAN BEIJEREN H. and ERNST M.H., The modified Enskog Equation, Physica, 68 (1973), 437-456.
5. RESIBOIS P., H-theorem for the (modified) nonlinear Enskog Equation, J. Statist. Phys., 19 (1978), 593-609.
6. 3, J. Statist. Phys., 56, (1989), 159-173.
7. POLEWCZAK J., Global Existence and asymptotic Behaviour for the nonlinear Enskog Equation , SIAM J. Appl. Math, 49, (1989), 952-959.
8. BELLOMO N., LACHOWICZ M., On the asymptotic Theory of the Boltzmann and Enskog Equations, Springer Lecure Notes in Mathematics: Mathematical Aspects of Fluid and Plasma Dynamics, G. Toscani, V. Boffi and S. Rionero Eds., 1991, 15-30.
9. CARLEMAN T., Problèmes Mathématiques dans la Théorie Cinétique des Gaz, Almquist and Wiksells (1957).
10. ARKERYD L., On the Boltzmann Equation. Part II: The full initial value problem. Arch. Rat. Mech. Anal., 45, (1972), 17-34.
11. ACZEL J., Lectures on Functional Equations and their Applications, Mathematics in Science and Engineering n. 19, Academic Press (1966).
12. BELLOMO N., POLEWCZAK J., The generalized Boltzmann equation: existence and exponential trend to equilibrium, C.R.Acad.Sci.Paris, 319 (1994), 893-898.
13. ARLOTTI L., BELLOMO N., LACHOWICZ M., POLEWCZAK J. and WALUS W., Lecture Notes on the Matematical Theory of the Boltzmann Equation, Advances in Mathematics for Applied Sciences n.33, World Sci. (1995).