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arXiv · 0804.1000

On the parabolic-elliptic limit of the doubly parabolic Keller--Segel system modelling chemotaxis

Piotr Biler·Lorenzo Brandolese
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Abstract

We establish new convergence results, in strong topologies, for solutions of the parabolic-parabolic Keller--Segel system in the plane, to the corresponding solutions of the parabolic-elliptic model, as a physical parameter goes to zero. Our main tools are suitable space-time estimates, implying the global existence of slowly decaying (in general, nonintegrable) solutions for these models, under a natural smallness assumption.

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Piotr Biler, Lorenzo Brandolese. 2009-03-09. On the parabolic-elliptic limit of the doubly parabolic Keller--Segel system modelling chemotaxis. https://arxiv.org/abs/0804.1000

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