@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}, publisher = {Elsevier}, volume = {43}, number = {3}, year = {2007}, doi = {10.1016/j.anihpb.2006.03.003}, mrnumber = {2319698}, zbl = {1122.60086}, language = {en}, url = {http://archive.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 - http://archive.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 http://archive.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, Volume 43 (2007) no. 3, pp. 257-297. doi : 10.1016/j.anihpb.2006.03.003. http://archive.numdam.org/articles/10.1016/j.anihpb.2006.03.003/
[1] Non equilibrium fluctuations in particle systems modelling reaction-diffusion equations, Stochastic Process. Appl. 42 (1992) 1-30. | Zbl
, , ,[2] Collective phenomena in interacting particle systems, Stochastic Process. Appl. 25 (1987) 137-152. | MR | Zbl
, , , ,[3] Equilibrium fluctuations of stochastic particle systems: the role of conserved quantities, Ann. Probab. 12 (1984) 742-759. | MR | Zbl
, ,[4] Mathematical Methods for Hydrodynamical Limits, Lecture Notes in Mathematics, vol. 1501, Springer-Verlag, 1991. | MR | Zbl
, ,[5] The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré A 25 (1989) 1-38. | Numdam | MR | Zbl
, , ,[6] The symmetric simple exclusion process. I. Probability estimates, Stochastic Process. Appl. (1991) 89-105. | MR | Zbl
, , , ,[7] The symmetric simple exclusion process. II. Applications, Stochastic Process. Appl. (1991) 107-115. | MR | Zbl
, , , ,[8] Non linear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys. 118 (1988) 31-59. | MR | Zbl
, , ,[9] Scaling Limits of Interacting Particle Systems, Springer, 1999. | MR | Zbl
, ,[10] The continuum reaction-diffusion limit of a stochastic cellular growth model, Rend. Acc. Lincei (S.9) 15 (2004) 215-223.
, ,[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 | Zbl
,[12] Hydrodynamic limits for a two-species reaction-diffusion process, Ann. Appl. Probab. 10 (2000) 163-191.
,Cited by Sources: