On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis

Anna Zhigun, Messoud Efendiev

Research output: Contribution to journalArticle

Abstract

In this article we deal with a class of non-autonomous 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 estimates related to the existence of the global uniform pull-back attractor under certain `balance conditions' on the order of the porous medium degeneracy and the growth of the chemotactic function.
Original languageEnglish
Pages (from-to)437–460
Number of pages24
JournalAdvances in Mathematical Sciences and Applications
Volume23
Issue number2
Publication statusPublished - 2013

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