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SUMMARY:Chemotactic clustering with discontinuous advection - Franca Hoffm
 ann (Rheinische Friedrich-Wilhelms-Universität Bonn)
DTSTART:20220208T145000Z
DTEND:20220208T153500Z
UID:TALK170126@talks.cam.ac.uk
DESCRIPTION:Bacterial chemotaxis describes the ability of single-cell orga
 nisms to respond to chemical signals. In the case where the bacterial resp
 onse to these chemical signals is sharp\, the corresponding chemotaxis mod
 el for bacterial self-organization exhibits a discontinuous advection spee
 d. This is a key challenge for analysis. We propose a new approach to circ
 umvent the discontinuity issue following a perturbativ approach\, where th
 e shape of the cellular profile is clearly separated from its global motio
 n. As a result\, we obtain exponential relaxation to equilibrium with an e
 xplicit rate. This is joint work with Vincent Calvez (Universit&eacute\; C
 laude Bernard Lyon 1\, France).
LOCATION:Seminar Room 2\, Newton Institute
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