@article{AIHPB_2007__43_3_257_0,
author = {de Masi, Anna and Luckhaus, Stephan and Presutti, Errico},
title = {Two scales hydrodynamic limit for a model of malignant tumor cells},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {43},
year = {2007},
pages = {257-297},
doi = {10.1016/j.anihpb.2006.03.003},
mrnumber = {2319698},
zbl = {1122.60086},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_2007__43_3_257_0}
}
de Masi, Anna; Luckhaus, Stephan; Presutti, Errico. Two scales hydrodynamic limit for a model of malignant tumor cells. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) pp. 257-297. doi : 10.1016/j.anihpb.2006.03.003. http://gdmltest.u-ga.fr/item/AIHPB_2007__43_3_257_0/
[1] , , , Non equilibrium fluctuations in particle systems modelling reaction-diffusion equations, Stochastic Process. Appl. 42 (1992) 1-30. | Zbl 0758.60107
[2] , , , , Collective phenomena in interacting particle systems, Stochastic Process. Appl. 25 (1987) 137-152. | MR 904269 | Zbl 0626.60103
[3] , , Equilibrium fluctuations of stochastic particle systems: the role of conserved quantities, Ann. Probab. 12 (1984) 742-759. | MR 744231 | Zbl 0546.60098
[4] , , Mathematical Methods for Hydrodynamical Limits, Lecture Notes in Mathematics, vol. 1501, Springer-Verlag, 1991. | MR 1175626 | Zbl 0754.60122
[5] , , , The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré A 25 (1989) 1-38. | Numdam | MR 995290 | Zbl 0664.60110
[6] , , , , The symmetric simple exclusion process. I. Probability estimates, Stochastic Process. Appl. (1991) 89-105. | MR 1135087 | Zbl 0749.60094
[7] , , , , The symmetric simple exclusion process. II. Applications, Stochastic Process. Appl. (1991) 107-115. | MR 1135088 | Zbl 0749.60095
[8] , , , Non linear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys. 118 (1988) 31-59. | MR 954674 | Zbl 0652.60107
[9] , , Scaling Limits of Interacting Particle Systems, Springer, 1999. | MR 1707314 | Zbl 0927.60002
[10] , , The continuum reaction-diffusion limit of a stochastic cellular growth model, Rend. Acc. Lincei (S.9) 15 (2004) 215-223. | Zbl pre05058753
[11] , Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts, Ann. Inst. H. Poincaré Probab. Statist. 32 (1996) 361-385. | Numdam | MR 1387395 | Zbl 0851.60094
[12] , Hydrodynamic limits for a two-species reaction-diffusion process, Ann. Appl. Probab. 10 (2000) 163-191. | Zbl pre01500281