Global in time solution to the Keller-Segel model of chemotaxis

Mario Primicerio, Boris Zaltzman

Research output: Working paper/PreprintPreprint

Abstract

We consider the Keller-Segel model of chemotaxis in the radial-symmetric two dimensional case. The blow-up occurs if the size of the initial datum is greater than some threshold.
We define the continuation of the solution after its blow-up and provide two ways of regularizing the problem that look quite natural and converge to the solution. Finally, we show that if the size of the initial datum is less than threshold, than all the mass diffuses to the infinity for infinite time whereas, if it is greater than threshold, then all the initial mass concentrates asymptotically in the origin.
Original languageEnglish GB
Pages1-18
StatePublished - 2004

Publication series

NamePreprint
PublisherCiteseer

Fingerprint

Dive into the research topics of 'Global in time solution to the Keller-Segel model of chemotaxis'. Together they form a unique fingerprint.

Cite this