THE HYDRODYNAMIC LIMIT FOR THE REACTION-DIFFUSION EQUATION - AN APPROACH IN TERMS OF THE GPV METHOD

Authors
FENG JF
Citation
Jf. Feng, THE HYDRODYNAMIC LIMIT FOR THE REACTION-DIFFUSION EQUATION - AN APPROACH IN TERMS OF THE GPV METHOD, Journal of theoretical probability, 9(2), 1996, pp. 285-299
Citations number
8
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of theoretical probability → ACNP
ISSN journal
08949840
Volume
9
Issue
2
Year of publication
1996
Pages
285 - 299
Database
ISI
SICI code
0894-9840(1996)9:2<285:THLFTR>2.0.ZU;2-I
Abstract
We study the hydrodynamic limit of the reaction diffusion process by m eans of the GPV technique (Guo et al.((4))). To this end, we first der ive a priori bounds on the moments of the occupation numbers using the local central limit theorem and results of stochastic analysis. The r esult of De Masi and Presutti((2)) for the hydrodynamic limit of the r eaction diffusion process is generalized here.