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The hydrodynamic limit for the reaction diffusion equation — An approach in terms of the GPV method |
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| Authors: | Jianfeng Feng |
| Affiliation: | (1) Mathematisches Institut, Universität München, Theresienstrass 39, D-80333 München, Germany;(2) Present address: Department of Probability and Statistics, Peking University, P.R. China;(3) Statistics Group, The Babraham Institute, Babraham, CB2 4AT Cambridge, England |
| Abstract: | We study the hydrodynamic limit of the reaction diffusion process by means of the GPV technique (Guoet al.(4)). To this end, we first derivea priori bounds on the moments of the occupation numbers using the local central limit theorem and results of stochastic analysis. The result of De Masi and Presutti(2) for the hydrodynamic limit of the reaction diffusion process is generalized here. |
| Keywords: | Reaction diffusion process hydrodynamic limit reaction diffusion equation local central limit theorem |
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