no. 3
Two scales hydrodynamic limit for a model of malignant tumor cells
Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) no. 3, pp. 257-297 
@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},
     pages = {257--297},
     year = {2007},
     publisher = {Elsevier},
     volume = {43},
     number = {3},
     doi = {10.1016/j.anihpb.2006.03.003},
     mrnumber = {2319698},
     zbl = {1122.60086},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpb.2006.03.003/}
}
TY  - JOUR
AU  - de Masi, Anna
AU  - Luckhaus, Stephan
AU  - Presutti, Errico
TI  - Two scales hydrodynamic limit for a model of malignant tumor cells
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2007
SP  - 257
EP  - 297
VL  - 43
IS  - 3
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.1016/j.anihpb.2006.03.003/
DO  - 10.1016/j.anihpb.2006.03.003
LA  - en
ID  - AIHPB_2007__43_3_257_0
ER  - 
%0 Journal Article
%A de Masi, Anna
%A Luckhaus, Stephan
%A Presutti, Errico
%T Two scales hydrodynamic limit for a model of malignant tumor cells
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2007
%P 257-297
%V 43
%N 3
%I Elsevier
%U https://www.numdam.org/articles/10.1016/j.anihpb.2006.03.003/
%R 10.1016/j.anihpb.2006.03.003
%G en
%F 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) no. 3, pp. 257-297. doi: 10.1016/j.anihpb.2006.03.003

[1] C. Boldrighini, A. De Masi, A. Pellegrinotti, Non equilibrium fluctuations in particle systems modelling reaction-diffusion equations, Stochastic Process. Appl. 42 (1992) 1-30. | Zbl

[2] C. Boldrighini, A. De Masi, A. Pellegrinotti, E. Presutti, Collective phenomena in interacting particle systems, Stochastic Process. Appl. 25 (1987) 137-152. | Zbl | MR

[3] T. Brox, H. Rost, Equilibrium fluctuations of stochastic particle systems: the role of conserved quantities, Ann. Probab. 12 (1984) 742-759. | Zbl | MR

[4] A. De Masi, E. Presutti, Mathematical Methods for Hydrodynamical Limits, Lecture Notes in Mathematics, vol. 1501, Springer-Verlag, 1991. | Zbl | MR

[5] A. De Masi, E. Presutti, E. Scacciatelli, The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré A 25 (1989) 1-38. | Zbl | MR | Numdam

[6] P. Ferrari, E. Presutti, E. Scacciatelli, M.E. Vares, The symmetric simple exclusion process. I. Probability estimates, Stochastic Process. Appl. (1991) 89-105. | Zbl | MR

[7] P. Ferrari, E. Presutti, E. Scacciatelli, M.E. Vares, The symmetric simple exclusion process. II. Applications, Stochastic Process. Appl. (1991) 107-115. | Zbl | MR

[8] M.Z. Guo, G.C. Papanicolaou, S.R.S. Varadhan, Non linear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys. 118 (1988) 31-59. | Zbl | MR

[9] C. Kipnis, C. Landim, Scaling Limits of Interacting Particle Systems, Springer, 1999. | Zbl | MR

[10] S. Luckhaus, L. Triolo, The continuum reaction-diffusion limit of a stochastic cellular growth model, Rend. Acc. Lincei (S.9) 15 (2004) 215-223.

[11] M. Mourragui, Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts, Ann. Inst. H. Poincaré Probab. Statist. 32 (1996) 361-385. | Zbl | MR | Numdam

[12] A. Perrut, Hydrodynamic limits for a two-species reaction-diffusion process, Ann. Appl. Probab. 10 (2000) 163-191.

Cité par Sources :