Blow-Up Solution in Logarithmic Sensitivity and Indirect Signal Generation Keller–Segel System

Jie Wu, Xinrui Xie and Marco Antonio Taneco Hern Ndez

Mathematical Problems in Engineering, 2022, vol. 2022, 1-9

Abstract: In this paper, we consider the following indirect signal generation and logarithmic sensitivity εnt=Δn−χ∇·n∇  ln  cx∈Ω,t>0ct=Δc−c+wx∈Ω,t>0wt=Δw−w+nx∈Ω,t>0 under homogeneous Neumann boundary conditions in a ball domain Ω⊂RNN≥4 with smooth boundary ∂Ω. This paper considers in the singular limit ε⟶0; the result comes from the finite time blow-up of arbitrary large values of n in the corresponding nonlocal scalar parabolic equation case when N≥4 and χ>2N/N−2.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8573835

DOI: 10.1155/2022/8573835

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