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.
|Number of pages||23|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - 01 Feb 2018|
- Degenerate diffusion
- Longtime dynamics