Singular behaviour of finite approximations to the addition model

Nonlinearity

Volumn 12, Issue 2, 1999, Pages 229-239

  Laurencot Ph ^a  

^a UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033096526     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/2/004     Document Type: Article

References (10)

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2. Leyvraz F and Tschudi H R 1981 Singularities in the kinetics of coagulation processes J. Phys. A: Math. Gen. 14 3389-405
3. Hendriks E M, Ernst M H and Ziff R M 1983 Coagulation equations with gelation J. Stat. Phys. 31 519-63
4. Hendriks E M and Ernst M H 1984 Exactly soluble addition and condensation models in coagulation kinetics J. Colloid Interface Sci. 97 176-94
5. Ball J M, Carr J and Penrose O 1986 The Becker-Döring cluster equations: basic properties and asymptotic behaviour of solutions Commun. Math. Phys. 104 657-92
6. Matsoukas T and Gulari E 1989 Monomer-addition growth with a slow initiation step: a growth model for silica particles from alkoxides J. Colloid Interface Sci. 132 13-21
7. Brilliantov N V and Krapivsky PL 1991 Non-scaling and source-induced scaling behaviour in aggregation models of movable monomers and immovable clusters J. Phys. A: Math. Gen. 24 4787-803
8. van Dongen P G J 1987 On the possible occurrence of instantaneous gelation in Smoluchowski's coagulation equation J. Phys. A: Math. Gen. 20 1889-904
9. Carr J and da Costa F P 1992 Instantaneous gelation in coagulation dynamics Z. Angew. Math. Phys. 43 974-83
10. Kolmogorcv A N and Fomin S V 1970 Introductory Real Analysis (Englewood Cliffs, NJ: Prentice-Hall)