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Efendiyev, M.A. ; Zhigun, A.

On a 'balance' condition for a class of PDEs including porous medium and chemotaxis effect: Non-aoutonomous case.

Adv. Math. Sci. Appl. 21, 285-304 (2011)

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In this article we deal with a class of degenerate parabolic systems that encompasses two different effects: porous medium and chemotaxis. Such classes of equations arise in the mesoscale level modeling of biomass spreading mechanisms via chemotaxis. We prove well-posedness under certain ”balance conditions” on the order of the porous medium degeneracy and the growth of the chemotactic functions.

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Publication type Article: Journal article

Document type Scientific Article

Corresponding Author

Keywords porous-medium; chemotaxis; well-posedness; biofilms; nonautonomous equation

ISSN (print) / ISBN 1343-4373

Journal Advances in Mathematical Sciences and Applications

Quellenangaben Volume: 21, Issue: 1, Pages: 285-304

Publisher Gakkōtosho

Publishing Place Tokyo

Non-patent literature Publications

Reviewing status Peer reviewed

Institute(s) Institute of Biomathematics and Biometry (IBB)