Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity

Jie Wu, Li Zhao and Heping Pan

Advances in Mathematical Physics, 2021, vol. 2021, issue 1

Abstract: In this paper, we consider the following indirect signal generation and singular sensitivity nt=Δn+χ∇⋅n/φc∇c, x∈Ω,t>0,ct=Δc−c+w, x∈Ω,t>0,wt=Δw−w+n, x∈Ω,t>0, in a bounded domain Ω ⊂ RN(N = 2, 3) with smooth boundary ∂Ω. Under the nonflux boundary conditions for n, c, and w, we first eliminate the singularity of φ(c) by using the Neumann heat semigroup and then establish the global boundedness and rates of convergence for solution.

Date: 2021
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https://doi.org/10.1155/2021/5130409

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5130409

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