On the macroscopic dynamics induced by a model wave-particle collision operator

Continuum Mechanics and Thermodynamics

Volumn 10, Issue 3, 1998, Pages 153-178

  Degond, P ^a   López, José L ^b   Peyrard, P F ^a,c  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITY OF GRANADA   (Spain)

^c ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032104991     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001610050087     Document Type: Article

References (29)

1. Bardos C, Golse F, Levermore D (1991) Fluid dynamic limit of kinetic equations 1. Formal derivations, J. Stat. Phys. 63, 323-344
2. Bardos C, Santos R, Sentis R (1984) Diffusion approximation and computation of the critical size, Trans. AMS 284, 617-649
3. Bouchut F, Perthame B (1993) A BGK model for small Prandtl number in the Navier-Stokes approximation, J. Stat. Phys. 71, 191-207
4. Bourgat JF, Desvillettes L, Le Tallec P, Perthame B (1994) Microreversible collisions for polyatomic gases and Boltzmann's H-theorem, Eur. Journal of Mechanics, B (fluids) 2, 235-254
5. Caflish R (1980) The fluid-dynamic limit of the nonlinear Boltzmann equation, Comm. Pure Appl. Math. 33, 651-666
6. Cercignani C, Illner R, Pulvirenti M (1994) The mathematical theory of dilute gases, Springer, New-York
7. Chapman S (1916/17) The kinetic theory of simple and composite gases: viscosity, thermal conduction and diffusion, Proc. Roy. Soc. (London) A93, 1-20
8. Degond P, Peyrard PF (1996) Un modèle de collisions ondes-particules en physique des plasmas: application à la dynamique des gaz, C. R. Acad. Sci. Paris 323, 209-214
9. De Masi A, Esposito R, Lebowitz JL (1989) Incompressible Navier-Stokes and Euler limits of the Boltzmann equation, Comm. Pure Appl. Math. 42, 1189-1214
10. Earl J, Jokipii JR. Morfill G (1988) Cosmic ray viscosity, The astrophysical Journal 331, L91
11. Enskog D (1917) Kinetische Theorie der Vorgänge in mässig verdünntent Gasen, 1, in Allgemeiner Teil, Almqvist & Wiksell, Uppsala
12. Golse F, Poupaud F (1992) Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, Asymptotic Analysis 6, 135-160
13. Gombosi TI, Powell KJ, De Zeeuw DL (1994) Axisymmetric modeling of cometary mass loading on an adaptively refined grid: MHD results, Journal of Geophysical Research, 99, 21525-21539
14. Grad H (1958) Principles of the kinetic theory of gases, in Handbuch der Physik (S. Flügge ed.). vol XII, Springer, Berlin
15. Grad H (1965) Asymptotic equivalence of the Navier-Stokes and non-linear Boltzmann equation, Proceedings of the American Mathematical Society Symposia on Applied Mathematics 17, 154-183
16. Hilbert D (1916/17) Begründung der kinetischen Gastheorie, Mathematische Annalen 72, 562-577
17. Krall NA, Trivelpiece AW (1964) Principles of plasma physics, McGraw Hill, New-York
18. Kumar K, Skullerud HR, Robson RE (1980) Kinetic theory of charged particle swarms in neutral gases, Aust. J. Phys. 33, 343-448
19. Landau L, Lifshitz E (1990) Physique Théorique, Vol 10, Cinétique Physique, Mir, Moscow
20. Levermore DC (1990) Moment closure hierarchies, preprint
21. Mohammadi B, Pironneau O (1993) Analysis of the K-Epsilon turbulence model, Masson and Wiley, New-York
22. Müller I, Ruggeri T (1993) Extended thermodynamics, Springer, Berlin
23. Rode DL (1967) Low-field electron transport, in "Semiconductor and semimetals", Vol 10, Academic press, New-York
24. Stix TH (1992) Waves in Plasmas, American Institute of Physics, New-York
25. Williams LL, Jokipii JR (1991) Viscosity and inertia in cosmic-ray transport: effects of an average magnetic field, The Astrophysical Journal 371, 639-647
26. Williams LL, Jokipii JR (1993) A single-fluid, self-consistent formulation of fluid dynamics and particle transport, The Astrophysical Journal 417, 725-734
27. Williams LL, Schwadron N, Jokipii JR, Gombosi TI (1993) A unified transport equation for both cosmic rays and thermal particles, The Astrophysical Journal 405, L79-L81
28. Zeytounian R Kh (1991) Meteorological Fluid Dynamics, Lecture notes in Physics vol. m5, Springer, Berlin
29. Zeytounian R Kh (1994) Modélisation asymptotique en mécanique des fluides newtoniens, Springer, Paris