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Volumn 46, Issue 2, 1999, Pages 433-442

Global solutions to the discrete coagulation equations

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EID: 0040038132     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300007890     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 0001796185 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence (aggregation, coagulation): A review of the mean-field theory for probabilists
    • D. J. Aldous. Deterministic and stochastic models for coalescence (aggregation, coagulation): a review of the mean-field theory for probabilists. Bernoulli, 5 (1999), 3-48.
    • (1999) Bernoulli , vol.5 , pp. 3-48
    • Aldous, D.J.1
  • 2
    • 0039065647 scopus 로고
    • A finite version of Smoluchowski's coagulation. Equation
    • T. A. Bak and O. Heilmann. A finite version of Smoluchowski's coagulation. equation, J. Phys. A, 24 (1991), 4889-4893.
    • (1991) J. Phys. A , vol.24 , pp. 4889-4893
    • Bak, T.A.1    Heilmann, O.2
  • 3
    • 0001236857 scopus 로고
    • The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservation
    • J. M. Ball and J. Carr. The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. J. Statist. Phys., 61 (1990), 203-234.
    • (1990) J. Statist. Phys. , vol.61 , pp. 203-234
    • Ball, J.M.1    Carr, J.2
  • 4
    • 0000459844 scopus 로고    scopus 로고
    • On an infinite system of reaction-diffusion equations
    • Ph. Bénilan and D. Wrzosek. On an infinite system of reaction-diffusion equations. Adv. Math. Sci. Appl., 7 (1997), 349-364.
    • (1997) Adv. Math. Sci. Appl. , vol.7 , pp. 349-364
    • Bénilan, Ph.1    Wrzosek, D.2
  • 5
    • 0011519055 scopus 로고    scopus 로고
    • A finite dimensional dynamical model for gelation in coagulation processes
    • F. P. da Costa. A finite dimensional dynamical model for gelation in coagulation processes. J. Nonlinear Sci., 8 (1998), 619-653.
    • (1998) J. Nonlinear Sci. , vol.8 , pp. 619-653
    • Da Costa, F.P.1
  • 6
    • 0001597592 scopus 로고
    • Analytical solutions of Smoluchowski's coagulation equation
    • O. J. Heilmann. Analytical solutions of Smoluchowski's coagulation equation. J. Phys. A, 25 (1992), 3763-3771.
    • (1992) J. Phys. A , vol.25 , pp. 3763-3771
    • Heilmann, O.J.1
  • 8
    • 0032474307 scopus 로고    scopus 로고
    • Existence of gelling solutions for coagulation-fragmentation equations
    • I. Jeon. Existence of gelling solutions for coagulation-fragmentation equations. Comrn. Math. Phys., 194 (1998), 541-567.
    • (1998) Comrn. Math. Phys. , vol.194 , pp. 541-567
    • Jeon, I.1
  • 9
    • 0001650150 scopus 로고
    • On Smoluchowski's coagulation equation
    • N. J. Kokholm. On Smoluchowski's coagulation equation. J. Phys. A, 21 (1988), 839-842.
    • (1988) J. Phys. A , vol.21 , pp. 839-842
    • Kokholm, N.J.1
  • 10
    • 0346073508 scopus 로고
    • Singularities in the kinetics of coagulation processes
    • F. Leyvraz and H. R. Tschudi. Singularities in the kinetics of coagulation processes. J. Phys. A, 14 (1981), 3389-3405.
    • (1981) J. Phys. A , vol.14 , pp. 3389-3405
    • Leyvraz, F.1    Tschudi, H.R.2
  • 11
    • 0346704279 scopus 로고
    • Critical kinetics near gelation
    • F. Leyvraz and H. R. Tschudi. Critical kinetics near gelation. J. Phys. A, 15 (1982), 1951-1964.
    • (1982) J. Phys. A , vol.15 , pp. 1951-1964
    • Leyvraz, F.1    Tschudi, H.R.2
  • 12
    • 84963009234 scopus 로고
    • On an infinite set of non-linear differential equations
    • J. B. McLeod. On an infinite set of non-linear differential equations. Quart. J. Math. Oxford Ser. (2). 13 (1962), 119-128.
    • (1962) Quart. J. Math. Oxford Ser. (2). , vol.13 , pp. 119-128
    • McLeod, J.B.1
  • 13
    • 84963097126 scopus 로고
    • On an infinite set of non-linear differential equations (II)
    • J. B. McLeod. On an infinite set of non-linear differential equations (II). Quart. J. Math. Oxford Ser. (2), 13 (1962), 193-205.
    • (1962) Quart. J. Math. Oxford Ser. (2) , vol.13 , pp. 193-205
    • McLeod, J.B.1
  • 14
    • 84963011816 scopus 로고
    • On a recurrence formula in differential equations
    • J. B. McLeod. On a recurrence formula in differential equations. Quart. J. Math. Oxford Ser. (2), 13 (1962), 283-284.
    • (1962) Quart. J. Math. Oxford Ser. (2) , vol.13 , pp. 283-284
    • McLeod, J.B.1
  • 15
    • 0001138912 scopus 로고
    • Drei vorträge über diffusion, brownsche molekularbewegung und koagulation von kolloidteilchen
    • M. Smoluchowski, Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen. Physik. Zeitschr., 17 (1916), 557-599.
    • (1916) Physik. Zeitschr. , vol.17 , pp. 557-599
    • Smoluchowski, M.1
  • 16
    • 84966219939 scopus 로고
    • A global existence theorem for Smoluchowski's coagulation equations
    • W. H. White. A global existence theorem for Smoluchowski's coagulation equations. Proc. Amer. Math. Soc., 80 (1980), 273-176.
    • (1980) Proc. Amer. Math. Soc. , vol.80 , pp. 273-1176
    • White, W.H.1


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