Two scales hydrodynamic limit for a model of malignant tumor cells

Anna de Masi; Stephan Luckhaus; Errico Presutti

Annales de l'I.H.P. Probabilités et statistiques (2007)

  • Volume: 43, Issue: 3, page 257-297
  • ISSN: 0246-0203

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de Masi, Anna, Luckhaus, Stephan, and Presutti, Errico. "Two scales hydrodynamic limit for a model of malignant tumor cells." Annales de l'I.H.P. Probabilités et statistiques 43.3 (2007): 257-297. <http://eudml.org/doc/77934>.

@article{deMasi2007,
author = {de Masi, Anna, Luckhaus, Stephan, Presutti, Errico},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {interacting particle systems; hydrodynamical limit},
language = {eng},
number = {3},
pages = {257-297},
publisher = {Elsevier},
title = {Two scales hydrodynamic limit for a model of malignant tumor cells},
url = {http://eudml.org/doc/77934},
volume = {43},
year = {2007},
}

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
PB - Elsevier
VL - 43
IS - 3
SP - 257
EP - 297
LA - eng
KW - interacting particle systems; hydrodynamical limit
UR - http://eudml.org/doc/77934
ER -

References

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  3. [3] T. Brox, H. Rost, Equilibrium fluctuations of stochastic particle systems: the role of conserved quantities, Ann. Probab.12 (1984) 742-759. Zbl0546.60098MR744231
  4. [4] A. De Masi, E. Presutti, Mathematical Methods for Hydrodynamical Limits, Lecture Notes in Mathematics, vol. 1501, Springer-Verlag, 1991. Zbl0754.60122MR1175626
  5. [5] A. De Masi, E. Presutti, E. Scacciatelli, The weakly asymmetric simple exclusion process, Ann. Inst. H. Poincaré A25 (1989) 1-38. Zbl0664.60110MR995290
  6. [6] P. Ferrari, E. Presutti, E. Scacciatelli, M.E. Vares, The symmetric simple exclusion process. I. Probability estimates, Stochastic Process. Appl. (1991) 89-105. Zbl0749.60094MR1135087
  7. [7] P. Ferrari, E. Presutti, E. Scacciatelli, M.E. Vares, The symmetric simple exclusion process. II. Applications, Stochastic Process. Appl. (1991) 107-115. Zbl0749.60095MR1135088
  8. [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. Zbl0652.60107MR954674
  9. [9] C. Kipnis, C. Landim, Scaling Limits of Interacting Particle Systems, Springer, 1999. Zbl0927.60002MR1707314
  10. [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. Zbl1162.60346
  11. [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. Zbl0851.60094MR1387395
  12. [12] A. Perrut, Hydrodynamic limits for a two-species reaction–diffusion process, Ann. Appl. Probab.10 (2000) 163-191. Zbl1171.60394

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