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• W1880520862 abstract "We investigate a linear kinetic equation derived from a velocity jump process modelling bacterial chemotaxis in the presence of an external chemical signal centered at the origin. We prove the existence of a positive equilibrium distribution with an exponential decay at infinity. We deduce a hypocoercivity result, namely: the solution of the Cauchy problem converges exponentially fast towards the stationary state. The strategy follows [J. Dolbeault, C. Mouhot, and C. Schmeiser, Hypocoercivity for linear kinetic equations conserving mass, Trans. AMS 2014]. The novelty here is that the equilibrium does not belong to the null spaces of the collision operator and of the transport operator. From a modelling viewpoint it is related to the observation that exponential confinement is generated by a spatially inhomogeneous bias in the velocity jump process." @default.
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• W1880520862 date "2014-04-02" @default.
• W1880520862 modified "2023-09-26" @default.
• W1880520862 title "Confinement by biased velocity jumps: aggregation of Escherichia coli" @default.
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• W1880520862 hasPublicationYear "2014" @default.
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