Chemotactic clustering with discontinuous advection

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• Franca Hoffmann (Rheinische Friedrich-Wilhelms-Universität Bonn)
• Tuesday 08 February 2022, 14:50-15:35
• Seminar Room 2, Newton Institute.

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FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

Bacterial chemotaxis describes the ability of single-cell organisms to respond to chemical signals. In the case where the bacterial response to these chemical signals is sharp, the corresponding chemotaxis model for bacterial self-organization exhibits a discontinuous advection speed. This is a key challenge for analysis. We propose a new approach to circumvent the discontinuity issue following a perturbativ approach, where the shape of the cellular profile is clearly separated from its global motion. As a result, we obtain exponential relaxation to equilibrium with an explicit rate. This is joint work with Vincent Calvez (Université Claude Bernard Lyon 1, France).

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

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