Workshop on Biomechanics and Chemotaxis, Tue, 11 Dec, 2007
Speaker: Lucilla Corrias
Abstract
Chemotaxis is a biological phenomenon describing directional changes in the movement of a mobile species in response to an external chemical stimulus spread in the environment where the population resides. Possible fascinating issues of a chemotactical movement are pattern formation and the aggregation of the organism involved to form a more complex organism or body. In order to describe mathematically this kind of biological phenomenon, E.F.Keller and L.A.Segel introduced in the early seventy a general chemotaxis system of two parabolic equations, the first equation describing the evolution of the population density and the second describing the dynamic of the chemical concentration. In despite of the fact that this model has been intensively studied in the last thirty years, mathematical interesting open problems still persist. This talk want to close the global existence theory for the Keller-Segel system with constant coefficients and give some new hint to the blow-up theory.
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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