arXiv Open Access 2020

Mathematical treatment of PDE model describing chemotactic E. coli colonies

Rafał Celiński Danielle Hilhorst Grzegorz Karch Masayasu Mimura Pierre Roux

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Abstrak

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.

Topik & Kata Kunci

math.AP

Penulis (5)

Rafał Celiński

Danielle Hilhorst

Grzegorz Karch

Masayasu Mimura

Pierre Roux

Format Sitasi

APA MLA BibTeX

Celiński, R., Hilhorst, D., Karch, G., Mimura, M., Roux, P. (2020). Mathematical treatment of PDE model describing chemotactic E. coli colonies. https://arxiv.org/abs/2003.06010

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓