Walker, Ch (2004). The discrete diffusive coagulation-fragmentation equations with scattering. Nonlinear Analysis: Theory, Methods & Applications, 58(1-2):121-142.
We consider the discrete coagulation–fragmentation equations with diffusion presupposing a maximal cluster size. Such a feature requires a new interaction mechanism in order to prevent occurrence of too large clusters being produced by coagulation. Existence of a unique solution for this model is proven and long-time behaviour is studied in situations, where equilibria are explicitly known.
We consider the discrete coagulation–fragmentation equations with diffusion presupposing a maximal cluster size. Such a feature requires a new interaction mechanism in order to prevent occurrence of too large clusters being produced by coagulation. Existence of a unique solution for this model is proven and long-time behaviour is studied in situations, where equilibria are explicitly known.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Coagulation–fragmentation equations, Maximal cluster size, Volume scattering, Collisional breakage |
| Language: | English |
| Date: | 2004 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 29 Jul 2020 19:40 |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/j.na.2004.05.003 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2070809 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1052.35082 |
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Walker, Ch