From the nonlocal to the local discrete diffusive coagulation equations

Mathematical Models and Methods in Applied Sciences

Volumn 12, Issue 7, 2002, Pages 1035-1048

  Laurençot, Philippe ^a   Wrzosek, Dariusz ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

Coagulation; Diffusive Smoluchowski equation; Nonlocal interactions

Indexed keywords

EID: 0036054566     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250200201X     Document Type: Article

References (32)

1. Deterministic and stochastic models for coalescence (aggregation, coagulation): A review of the mean-field theory for probabilists
2. Coagulation-fragmentation processes
3. The discrete coagulation-fragmentation equations: Existence, uniqueness, and density conservation
4. Compacité de l'opérateur définissant la solution d'une équation d'évolution non homogène
5. On a infinite system of reaction-diffusion equations
6. Existence of solutions to coagulation-fragmentation systems with diffusion
7. Probabilistic approach of some discrete and continuous coagulation equations with diffusion
8. Spatial fluctuations in reaction-limited aggregation
9. A general mathematical survey of the coagulation equation
10. Gelation in coagulation and fragmentation models
11. Coagulation equations with gelation
12. Sol-gel transition in a coagulation-diffusion model
13. Existence of gelling solutions for coagulation-fragmentation equations
14. A nonlocal coagulation-fragmentation model
15. Nonlocal bilinear equations. Equilibrium solutions and diffusive limit
16. Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limit
17. 1
18. The continuous coagulation-fragmentation equations with diffusion
19. The Becker-Döring model with diffusion. I. Basic properties of solutions
20. Discrete coagulation-fragmentation models
21. Singularities in the kinetics of coagulation processes
22. Spatio-angular order in populations of self-aligning objects: Formation of oriented patches
23. Kinetics of red blood cell aggregation: An example of geometric polymerization
24. The effect of particle coagulation on the diffusive relaxation of a spatially inhomogeneous aerosol
25. Coagulation-diffusion systems: Derivation and existence of solutions for the diffuse interface structure equations
26. Drei vorträge über diffusion, brownsche molekularbewegung und koagulation von kolloidteilchen
27. Versuch einer mathematischen theorie der koagulationskinetik kolloider lösungen
28. Existence of solutions for the discrete coagulation-fragmentation model with diffusion
29. Kinetics of polymerization