On an exponential attractor for a class of pdes with degenerate diffusion and chemotaxis

Messoud Efendiev; Anna Zhigun

doi:10.3934/dcds.2018028

On an exponential attractor for a class of pdes with degenerate diffusion and chemotaxis

Messoud Efendiev, Anna Zhigun

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

153 Downloads (Pure)

Abstract

In this article we deal with a class of strongly coupled parabolic systems that encompasses two different effects: degenerate diffusion and chemotaxis. Such classes of equations arise in the mesoscale level modeling of biomass spreading mechanisms via chemotaxis. We show the existence of an exponential attractor and, hence, of a finite-dimensional global attractor under certain 'balance conditions' on the order of the degeneracy and the growth of the chemotactic function.

Original language	English
Pages (from-to)	651-673
Number of pages	23
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	38
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2018028
Publication status	Published - 01 Feb 2018

Keywords

Attractor
Biofilm
Chemotaxis
Degenerate diffusion
Longtime dynamics

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On An Exponential Attractor For A Class Of Pdes With Degenerate Diffusion And Chemotaxis
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Anna Zhigun
- A.Zhigun@qub.ac.uk
- School of Mathematics and Physics - Lecturer
- Mathematical Sciences Research Centre
Person: Academic

Cite this

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