FKT | Prof. Franca Hoffmann | Chemotactic clustering with discontinuous advection
Автор: INI Seminar Room 2
Загружено: 2025-12-15
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FKT | Prof. Franca Hoffmann | Chemotactic clustering with discontinuous advection
Speaker: Professor Franca Hoffmann (CALTECH (California Institute of Technology))
Date: 8th Feb 2022 - 14:50 to 15:35
Venue: INI Seminar Room 2
Title: Chemotactic clustering with discontinuous advection
Event: (FKT) Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022
Abstract: 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).
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