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Volumn 9, Issue 1, 1999, Pages 78-109

Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent

Author keywords

Hydrodynamic limit; Smoluchowski's coagulation equation; Stochastic coalescent

Indexed keywords


EID: 0033440601     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1029962598     Document Type: Article
Times cited : (179)

References (16)
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  • 2
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    • The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservation
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    • Existence, uniqueness and mass conservation for the coagulation-fragmentation equation
    • DUBOVSKIǏ, P. B. and STEWART, I. W. (1996). Existence, uniqueness and mass conservation for the coagulation-fragmentation equation. Math. Methods Appl. Sci. 19 571-591.
    • (1996) Math. Methods Appl. Sci. , vol.19 , pp. 571-591
    • Dubovskiǐ, P.B.1    Stewart, I.W.2
  • 7
    • 0001597592 scopus 로고
    • Analytical solutions of Smoluchowski's coagulation equation
    • HEILMANN, O. J. (1992). Analytical solutions of Smoluchowski's coagulation equation. J. Phys. A 25 3763-3771.
    • (1992) J. Phys. A , vol.25 , pp. 3763-3771
    • Heilmann, O.J.1
  • 9
    • 0032474307 scopus 로고    scopus 로고
    • Existence of getting solutions for coagulation-fragmentation equations
    • To appear
    • JEON, I. (1998). Existence of getting solutions for coagulation-fragmentation equations. Commun. Math. Phys. To appear.
    • (1998) Commun. Math. Phys.
    • Jeon, I.1
  • 11
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    • Stochastic coalescence
    • MARCUS, A. H. (1968). Stochastic coalescence. Technometrics 10 133-143.
    • (1968) Technometrics , vol.10 , pp. 133-143
    • Marcus, A.H.1
  • 12
    • 84963009234 scopus 로고
    • On an infinite set of nonlinear differential equations
    • MCLEOD, J. B. (1962). On an infinite set of nonlinear differential equations. Quart. J. Math. Oxford 13 119-128.
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  • 13
    • 84963108529 scopus 로고
    • On the scalar transport equation
    • MCLEOD, J. B. (1964). On the scalar transport equation. Proc. London Math. Soc. 14 445-458.
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  • 15
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    • Drei vorträge über Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen
    • VAN SMOLUCHOWSKI, M. (1916). Drei Vorträge über Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen. Physik. Z. 17 557-585.
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    • Van Smoluchowski, M.1
  • 16
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    • A global existence theorem for Smoluchowski's coagulation equations
    • WHITE, W. H. (1980). A global existence theorem for Smoluchowski's coagulation equations. Proc. Amer. Math. Soc. 80 273-276.
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    • White, W.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.