On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes

• Verfasst von: Oelschläger, Karl [VerfasserIn]
• Titel: On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
• Verf.angabe: Karl Oelschläger
• Umfang: 22 S.
• Titel Quelle: Enthalten in: Probability theory and related fields
• Jahr Quelle: 1989
• Band/Heft Quelle: 82(1989), 4, S. 565-586
• ISSN Quelle: 0178-8051
• Sprache: eng
• K10plus-PPN: 1643018361

Abstract

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.