2012年2月
REACTION DIFFUSION EQUATION WITH NON-LOCAL TERM ARISES AS A MEAN FIELD LIMIT OF THE MASTER EQUATION
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
- ,
- ,
- 巻
- 5
- 号
- 1
- 開始ページ
- 115
- 終了ページ
- 126
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.3934/dcdss.2012.5.115
- 出版者・発行元
- AMER INST MATHEMATICAL SCIENCES
We formulate a reaction diffusion equation with non-local term as a mean field equation of the master equation where the particle density is defined continuously in space and time. In the case of the constant mean waiting time, this limit equation is associated with the diffusion coefficient of A. Einstein, the reaction rate in phenomenology, and the Debye term under the presence of potential.
- リンク情報
- ID情報
-
- DOI : 10.3934/dcdss.2012.5.115
- ISSN : 1937-1632
- eISSN : 1937-1179
- Web of Science ID : WOS:000208860300007