Details
| Original language | English |
|---|---|
| Pages (from-to) | 121-142 |
| Number of pages | 22 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 58 |
| Issue number | 1-2 |
| Publication status | Published - Jul 2004 |
| Externally published | Yes |
Abstract
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.
Keywords
- Coagulation-fragmentation equations, Collisional breakage, Maximal cluster size, Volume scattering
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 58, No. 1-2, 07.2004, p. 121-142.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The discrete diffusive coagulation-fragmentation equations with scattering
AU - Walker, Christoph
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/7
Y1 - 2004/7
N2 - 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.
AB - 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.
KW - Coagulation-fragmentation equations
KW - Collisional breakage
KW - Maximal cluster size
KW - Volume scattering
UR - http://www.scopus.com/inward/record.url?scp=3042590647&partnerID=8YFLogxK
U2 - 10.1016/j.na.2004.05.003
DO - 10.1016/j.na.2004.05.003
M3 - Article
AN - SCOPUS:3042590647
VL - 58
SP - 121
EP - 142
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 1-2
ER -