On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
We consider systems of "moderately" interacting particles, which are divided into a finite number of different subpopulations, and show that in the limit as the population size tends to infinity the empirical processes of the subpopulations converge to the solution of a system of reaction-...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1989
|
| In: |
Probability theory and related fields
Year: 1989, Jahrgang: 82, Heft: 4, Pages: 565-586 |
| ISSN: | 1432-2064 |
| DOI: | 10.1007/BF00341284 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1007/BF00341284 Verlag, Volltext: https://link.springer.com/article/10.1007/BF00341284 
|
| Verfasserangaben: | Karl Oelschläger |
| Zusammenfassung: | We consider systems of "moderately" interacting particles, which are divided into a finite number of different subpopulations, and show that in the limit as the population size tends to infinity the empirical processes of the subpopulations converge to the solution of a system of reaction-diffusion equations. |
|---|---|
| Beschreibung: | Gesehen am 13.06.2018 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-2064 |
| DOI: | 10.1007/BF00341284 |