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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Two scale hydrodynamic limit for a model of malignant tumor cells
Anna De Masi, Stephan Luckhaus and Errico PresuttiAbstract
We look at a lattice model introduced by Luckhaus and Triolo for competition beetween normal and malignant cells.Malignant cells are diffusing fast whereas normal cells move on a slower scale and obey an exclusion rule.The difference in time scales allows to derive a two scale hydrodynamic limit.A key ingredient of the proof is to reproduce the parabolic a priori estimates on the level of generators of the stochastic process.
- Received:
- 05.01.05
- Published:
- 05.01.05
- MSC Codes:
- 60K35, 35K57
- PACS:
- 63
- Keywords:
- two scale hydodynamic limit limit, exclusion process