Free Access
Volume 38, Number 4, July-August 2004
Page(s) 673 - 690
Published online 15 August 2004
  1. P. Berthonnaud, Limites fluides pour des modèles cinétiques de brouillards de gouttes monodispersés. C. R. Acad. Sci. 331 (2000) 651–654. [Google Scholar]
  2. M. Brassart, Limite semi-classique de transformées de Wigner dans des milieux périodiques ou aléatoires. Thèse Université de Nice-Sophia Antipolis (Novembre 2002). [Google Scholar]
  3. J.R. Brock and G.M. Hidy, The dynamics of aerocolloidal systems. Pergamon Press (1970). [Google Scholar]
  4. R. Caflisch and G. Papanicolaou, Dynamic theory of suspensions with Brownian effects. SIAM J. Appl. Math. 43 (1983) 885–906. [CrossRef] [MathSciNet] [Google Scholar]
  5. J.F. Clouet and K. Domelevo, Solutions of a kinetic stochastic equation modeling a spray in a turbulent gas flow. Math. Models Methods Appl. Sci. 7 (1997) 239–263. [CrossRef] [MathSciNet] [Google Scholar]
  6. L. Desvillettes, About the modeling of complex flows by gas-particles methods, Proceedings of the workshop “Trends in Numerical and Physical Modeling for Industrial Multiphase Flows”, Cargèse, France (2000). [Google Scholar]
  7. K. Domelevo and M.-H. Vignal, Limites visqueuses pour des systèmes de type Fokker-Planck-Burgers unidimensionnels. C. R. Acad. Sci. 332 (2001) 863–868. [Google Scholar]
  8. K. Domelevo and P. Villedieu, Work in preparation. Personal communication. [Google Scholar]
  9. S. Gavrilyuck and V. Teshukhov, Kinetic model for the motion of compressible bubbles in a perfect fluid. Eur. J. Mech. B/Fluids 21 (2002) 469–491. [CrossRef] [MathSciNet] [Google Scholar]
  10. F. Golse, in From kinetic to macroscopic models in Kinetic equations and asymptotic theory, B. Perthame and L. Desvillettes Eds., Gauthier-Villars, Ser. Appl. Math. 4 (2000) 41–121. [Google Scholar]
  11. T. Goudon, Asymptotic problems for a kinetic model of two-phase flow. Proc. Royal Soc. Edimburgh 131 (2001) 1371–1384. [CrossRef] [Google Scholar]
  12. T. Goudon, P.-E. Jabin and A. Vasseur, Hydrodymamic limit for the Vlasov-Navier-Stokes system: Light particles regime. Preprint. [Google Scholar]
  13. T. Goudon, P.-E. Jabin and A. Vasseur, Hydrodymamic limit for the Vlasov-Navier-Stokes system: Fine particles regime. Preprint. [Google Scholar]
  14. K. Hamdache, Global existence and large time behaviour of solutions for the Vlasov-Stokes equations. Japan J. Ind. Appl. Math. 15 (1998) 51–74. [CrossRef] [Google Scholar]
  15. H. Herrero, B. Lucquin-Desreux and B. Perthame, On the motion of dispersed balls in a potential flow: a kinetic description of the added mass effect. SIAM J. Appl. Math. 60 (1999) 61–83. [CrossRef] [Google Scholar]
  16. P.-E. Jabin, Large time concentrations for solutions to kinetic equations with energy dissipation. Comm. Partial Differential Equations 25 (2000) 541–557. [CrossRef] [MathSciNet] [Google Scholar]
  17. P.-E. Jabin, Macroscopic limit of Vlasov type equations with friction. Ann. IHP Anal. Non Linéaire 17 (2000) 651–672. [CrossRef] [Google Scholar]
  18. P.-E. Jabin and B. Perthame, in Notes on mathematical problems on the dynamics of dispersed particles interacting through a fluid in Modeling in applied sciences, a kinetic theory approach, N. Bellomo and M. Pulvirenti Eds., Birkhäuser (2000) 111–147. [Google Scholar]
  19. P. Kramer and A. Majda, Simplified models for turbulent diffusion: Theory, numerical modeling, and physical phenomena. Physics Reports 314 (1999) 237–574. [Google Scholar]
  20. R. Kubo, Stochastic Liouville equations. J. Math. Phys. 4 (1963) 174–183. [NASA ADS] [CrossRef] [Google Scholar]
  21. G. Loeper and A. Vasseur, Electric turbulence in a plasma subject to a strong magnetic field. Preprint. [Google Scholar]
  22. P.J. O'Rourke, Statistical properties and numerical implementation of a model for droplets dispersion in a turbulent gas. J. Comp. Phys. 83 (1989) 345–360. [CrossRef] [Google Scholar]
  23. F. Poupaud and A. Vasseur, Classical and quantum transport in random media. J. Math. Pures Appl. 82 (2003) 711–748. [CrossRef] [MathSciNet] [Google Scholar]
  24. G. Russo and P. Smereka, Kinetic theory for bubbly flows I, II. SIAM J. Appl. Math. 56 (1996) 327–371. [CrossRef] [MathSciNet] [Google Scholar]
  25. C. Villani, A review of mathematical topics in collisional kinetic theory, in Handbook of mathematical fluid mechanics, S. Friedlander and D. Serre Eds., North-Holland (2002). [Google Scholar]
  26. F.A. Williams, Combustion theory. Benjamin Cummings Publ., 2nd edn. (1985). [Google Scholar]
  27. L.I. Zaichik, A statistical model of particle transport and heat transfer in turbulent shear flows. Phys. Fluids 11 (1999) 1521–1534. [CrossRef] [Google Scholar]

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