Year: 2019
Type: article
Abstract: This paper deals with the Keller–Segel system with signal-dependent sensitivity ut=Δu−χ∇⋅(uS(v)∇v),vt=Δv−v+u, where χ>0 and S is a given function generalizing the sensitivity S(s)=1/(a+s)k, k>1, a≥0, and shows exponential convergence of global classical solutions under an additional smallness condition for χ>0.
Source: Applicable Analysis
Authors: Tobias Black, Johannes Lankeit, Masaaki Mizukami
Institutions: Paderborn University, Tokyo University of Science
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2895885992