The hydrodynamic limit for the reaction diffusion equation - An approach in terms of the GPV method

Journal of Theoretical Probability

Volumn 9, Issue 2, 1996, Pages 285-299

  Feng, Jianfeng ^a,b,c  

^a UNIVERSITY OF MUNICH   (Germany)

^b PEKING UNIVERSITY   (China)

^c BABRAHAM INSTITUTE   (United Kingdom)

Author keywords

Hydrodynamic limit; Local central limit theorem; Reaction diffusion equation; Reaction diffusion process

Indexed keywords

EID: 21344462125     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214650     Document Type: Article

References (8)

1. Chen, M. F. (1986). Jump Processes and Particle Systems, Beijing Normal University Press (in Chinese).
2. De Masi, A., and Presutti, E. (1991). Mathematical Methods for Hydrodynamic Limits, LNM 1501, Springer-Verlag, Berlin.
3. Feller, W. (1957). An Introduction to Probability and Its Applications, Vol. I, J. Wiley and Sons, New York.
4. Guo, M. Z., Papanicolaou, G. C., and Varadhan, S. R. S. (1988). Non Linear Diffusion Limit for a System with nearest Neighbor Interactions. Commun. Math. Phys. 118, 31-59.
5. Liggett, T. (1985). Interacting Particle Systems, Springer-Verlag, New York.
6. Protter, P. (1990). Stochastic Integration and Differential Equations, Springer-Verlag, New York.
7. Spohn, H. (1991). Large Scale Dynamics of Interacting Particles, Springer-Verlag, Berlin, Heidelberg.
8. Yau, H. T. (1991). Relative Entropy and Hydrodynamics of Ginzburg-Landau Models. Letters Math. Phys. 22, 63-80.