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-...

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Autore principale: Oelschläger, Karl (Autore)
Natura: Article (Journal)
Lingua:inglese
Pubblicazione: 1989
In: Probability theory and related fields
Year: 1989, Volume: 82, Fascicolo: 4, Pages: 565-586
ISSN:1432-2064
DOI:10.1007/BF00341284
Accesso online:Verlag, Volltext: http://dx.doi.org/10.1007/BF00341284
Verlag, Volltext: https://link.springer.com/article/10.1007/BF00341284
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Note sull'autore:Karl Oelschläger
Descrizione
Riassunto: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.
Descrizione del documento:Gesehen am 13.06.2018
Descrizione fisica:Online Resource
ISSN:1432-2064
DOI:10.1007/BF00341284