Mathematical treatment of PDE model describing chemotactic E. coli colonies

Autor:	Celiński, Rafał, Hilhorst, Danielle, Karch, Grzegorz, Mimura, Masayasu, Roux, Pierre
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs 35B36 35B40 35K20 35K55 35K57
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jde.2020.12.020
Popis:	We consider an initial-boundary value problem describing the formation of colony patterns of bacteria Escherichia coli. This model consists of reaction-diffusion equations coupled with the Keller-Segel system from the chemotaxis theory in a bounded domain, supplemented with zero-flux boundary conditions and with non-negative initial data. We answer questions on the global in time existence of solutions as well as on their large time behaviour. Moreover, we show that solutions of a related model may blow up in a finite time. Comment: 24 pages, with figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.06010 Zobrazit plný text záznamu View this record from Arxiv