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Processus de coagulation et fragmentation

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Book cover Modèles aléatoires

Part of the book series: Mathématiques & applications ((MATHAPPLIC,volume 57))

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Références

  1. D. Aldous. Deterministic and stochastic models for coalescence (aggregation and coagulation) : a review of the mean-field theory for probabilists. Bernoulli, 5 (1): 3-48, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  2. H. Babovsky. On a Monte Carlo scheme for Smoluchowski’s coagulation equa-tion. Monte Carlo Methods Appl., 5(1): 1-18, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  3. J.M. Ball et J. Carr. The discrete coagulation-fragmentation equations : exis-tence, uniqueness, and density conservation. J. Statist. Phys., 61(1-2): 203-234, 1990.

    Article  MathSciNet  Google Scholar 

  4. E. Buffet et J.V. Pulé. Polymers and random graphs. J. Statist. Phys., 64(1-2): 87-110, 1991.

    Article  MathSciNet  Google Scholar 

  5. J. Carr et F.P. da Costa. Instantaneous gelation in coagulation dynamics. Z. Angew. Math. Phys., 43(6): 974-983, 1992.

    Article  MathSciNet  Google Scholar 

  6. F.P. da Costa. Existence and uniqueness of density conserving solutions to the coagulation-fragmentation equations with strong fragmentation. J. Math. Anal. Appl., 192(3): 892-914, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Deaconu, N. Fournier et E. Tanré. A pure jump Markov process associated with Smoluchowski’s coagulation equation. Ann. Probab., 30(4): 1763-1796, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  8. M. Deaconu et E. Tanré. Smoluchowski’s coagulation equation : probabilistic interpretation of solutions for constant, additive and multiplicative kernels. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 29(3): 549-579, 2000.

    MathSciNet  Google Scholar 

  9. E. Debry, B. Sportisse et B. Jourdain. A stochastic approach for the simulation of the general dynamics equation for aerosols. J. Comput. Phys., 184: 649-669, 2003.

    Article  MATH  Google Scholar 

  10. R. Drake. A general mathematical survey of the coagulation equation. Int. Rev. Aerosol Phys. Chem., 3: 201-376, 1972.

    Google Scholar 

  11. E. Allen et P. Bastien. On coagulation and the stellar mass function. Astrophys. J., 452: 652-670, 1995.

    Article  Google Scholar 

  12. A. Eibeck et W. Wagner. Stochastic particle approximations for Smoluchowski’s coagulation equation. Ann. Appl. Probab., 11(4): 1137-1165, 2001.

    Article  MathSciNet  Google Scholar 

  13. M.H. Ernst. Exact solutions of the nonlinear Boltzmann equation and related kinetic equations. In Nonequilibrium phenomena, I, volume 10 de Stud. Statist. Mech., pages 51-119. North-Holland, Amsterdam, 1983.

    Google Scholar 

  14. I. Jeon. Existence of gelling solutions for coagulation-fragmentation equations. Comm. Math. Phys., 194(3): 541-567, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  15. B. Jourdain. Nonlinear processes associated with the discrete Smoluchowski coagulation-fragmentation equation. Markov Process. Related Fields,9(1): 103-130, 2003.

    MATH  MathSciNet  Google Scholar 

  16. A. Lushnikov. Evolution of coagulating systems. J. Colloid Interface Sci., 45: 549-556, 1973.

    Article  Google Scholar 

  17. A.H. Marcus. Stochastic coalescence. Technometrics, 10: 133-143, 1968.

    Article  MathSciNet  Google Scholar 

  18. J.R. Norris. Smoluchowski’s coagulation equation : uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent. Ann. Appl. Probab., 9(1): 78-109, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  19. J. Seinfeld. Atmospheric Chemistry and Physics of Air Pollution. Wiley, 1986.

    Google Scholar 

  20. J. Silk et T. Takahashi. A statistical model for the initial stellar mass function. Astrophys. J., 229: 242-256, 1979.

    Article  Google Scholar 

  21. J. Silk et S. White. The development of structure in the expanding universe. Astrophys. J., 228: L59-L62, 1978.

    Article  Google Scholar 

  22. M. Smoluchowski. Drei vorträge über diffusion, brownsche bewegung und koa-gulation von kolloidteilchen. Phys. Z., 17: 557-585, 1916.

    Google Scholar 

  23. S. Tavaré. Line-of-descent and genealogical processes, and their applications in population genetics models. Theoret. Population Biol., 26(2): 119-164, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  24. G. Wetherill. Comparison of analytical and physical modeling of planetisimal accumulation. Icarus, 88: 336-354, 1990.

    Article  Google Scholar 

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(2006). Processus de coagulation et fragmentation. In: Modèles aléatoires. Mathématiques & applications, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33284-8_12

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