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Large time behavior of solutions to a chemotaxis model with porous medium diffusion.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2019, Vol. 478 Issue 1, p195-211. 17p. - Publication Year :
- 2019
-
Abstract
- In this paper, we study the large time behavior of a chemotaxis model with nonlinear diffusion and consumption { u t = Δ u m − ∇ ⋅ (u ∇ v) + μ u (1 − u) , v t − Δ v = − v u , where m > 1. In a previous paper [5] , we have proved the existence and uniform boundedness of global weak solutions for any nonnegative initial data and any m > 1. In this work, we show that the weak solutions strongly converge to (1 , 0) in the large time limit. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 478
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 136730649
- Full Text :
- https://doi.org/10.1016/j.jmaa.2019.05.027