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Turing's instability versus cross-diffusion-driven instability

Presented by: 
M Mimura [Meiji University, Kanazawa, Japan]
Wednesday 14th March 2012 - 17:10 to 18:00
Turing' diffusion-driven instability has been observed in diverse complex and regularized spatio and/or temporal patterns in not only scientific but also engineering fields. Another instability on pattern formation, such ascross-diffusion-driven instability or chemotactic instability is discussed in ecological and biological systems. In this talk, I am concerned with the relation between two types of instabilities above. As an application, I discuss self-organized aggregation of biological individuals with aggregation pheromones. Keywords: cross-diffusion, active aggregation, infinite dimensional relaxation oscillation.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons