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Active Brownian Particles and Chemotaxis

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FDE2 - Fractional differential equations

The Keller-Segel model comes from a microscopic model where the chemical gradient acts a drift for a Brownian motion. The macroscopic resulting PDE (the Keller-Segel equation) is known to have some blow up properties, i.e. the model is quite unstable. In this talk we consider a different model where the particles experience a torque from the chemical gradient instead. We discuss some aspects of the mean field limit, hard-sphere interactions, PDE existence, global in time existence, linear (in)stability and nonlinear stability when the chemical is fixed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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