Large time behavior of solutions to a chemotaxis system with singular sensitivity and logistic source

Jiaqin Li and Zhongping Li

Mathematische Nachrichten, 2021, vol. 294, issue 7, 1374-1383

Abstract: In this paper, we study the following chemotaxis system with singular sensitivity and logistic source ut=Δu−χ∇·uv∇v+ru−μuk,x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0,in a smooth bounded convex domain Ω⊂Rn (n≥2) with the non‐flux boundary, where χ,r,μ>0,k>2. The boundedness of solutions has been proved in the case that n≥2, k>3(n+2)n+4 and r, χ>0 satisfying χ2

Date: 2021
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