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Spatial Patterns for Reaction-Diffusion Systems with Unilateral Conditions

Thursday 15th March 2012 - 15:10 to 15:30
It is well-known that Turing's effect can lead to stationary spatial pattern in reaction-diffusion systems of activator-inhibitor or substrate-depletion type. However, it is also known that this effect can occur only under certain assumptions about the diffusion speed. The aim of the talk is to discuss that conditions of unilateral type (obstacles) of various kind can lead to bifurcation of stationary spatial patterns even in a regime where classically no such phenomenon would occur.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons