Abstract
In this paper, we study the large time behavior of a chemotaxis model with nonlinear diffusion and consumption{ut=Δum−∇⋅(u∇v)+μu(1−u),vt−Δv=−vu, 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
