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 | |
Publication status | Published - 01 Feb 2018 |
Keywords
- Attractor
- Biofilm
- Chemotaxis
- Degenerate diffusion
- Longtime dynamics
Fingerprint
Dive into the research topics of 'On an exponential attractor for a class of pdes with degenerate diffusion and chemotaxis'. Together they form a unique fingerprint.Profiles
-
Anna Zhigun
- School of Mathematics and Physics - Senior Lecturer
- Mathematical Sciences Research Centre
Person: Academic