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Reaction-diffusion systems arising in biological and chemical systems: Application of singular limit procedures. (English) Zbl 1030.35001

Colli, Pierluigi (ed.) et al., Mathematical aspects of evolving interfaces. Lectures given at the C.I.M.-C.I.M.E. joint Euro-summer school, Madeira, Funchal, Portugal, July 3-9, 2000. Berlin: Springer. Lect. Notes Math. 1812, 89-121 (2003).
This paper surveys the following themes: 1. What is diffusion? 2. Paradox of diffusion; 3. Diffusive patterns and waves-bistable RD equations; 4. Resource-consumer RD systems; 5. Competition-diffusion systems and singular limits procedures; 6. Chemotactic patterns-aggregation and colonies.
For the entire collection see [Zbl 1013.00023].
Reviewer: Jiaqi Mo (Wuhu)

MSC:

35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
35K57 Reaction-diffusion equations
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