On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
K. Oelschläger. Probability Theory and Related Fields, 82 (4):
565--586(1989)
Abstract
We consider systems of ldquomoderatelyrdquo 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.
%0 Journal Article
%1 oelschlager1989drd
%A Oelschläger, K.
%D 1989
%I Springer
%J Probability Theory and Related Fields
%K measure_valued_process reaction-diffusion
%N 4
%P 565--586
%T On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes
%U http://www.springerlink.com/index/T4W567H77NN07N0M.pdf
%V 82
%X We consider systems of ldquomoderatelyrdquo 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.
@article{oelschlager1989drd,
abstract = {We consider systems of ldquomoderatelyrdquo 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.
},
added-at = {2009-02-25T05:42:25.000+0100},
author = {Oelschl{\"a}ger, K.},
biburl = {https://www.bibsonomy.org/bibtex/2924d959880297f1eec4c96ec9d6c39b8/peter.ralph},
interhash = {74235d9641d8d1aa2cd36974859c1557},
intrahash = {924d959880297f1eec4c96ec9d6c39b8},
journal = {Probability Theory and Related Fields},
keywords = {measure_valued_process reaction-diffusion},
number = 4,
pages = {565--586},
publisher = {Springer},
timestamp = {2010-10-04T23:23:52.000+0200},
title = {{On the derivation of reaction-diffusion equations as limit dynamics of systems of moderately interacting stochastic processes}},
url = {http://www.springerlink.com/index/T4W567H77NN07N0M.pdf},
volume = 82,
year = 1989
}