Abstract
We consider the Cauchy problem derived from an attraction-repulsion chemotaxis system in $\mathbb R^n$. This system consists of the partial differential equations of the parabolic-elliptic-elliptic type, and possesses two components representing the chemoattractant and chemorepellent. In this paper, we show that the system for the three or four-dimensional case admits the solution which blows up in finite time in the attractive dominant case by use of the moment method.
Citation
Tatsuya Hosono. "Finite-time blow-up for the attractive dominant case of an attraction-repulsion chemotaxis system in the whole space." Differential Integral Equations 36 (11/12) 907 - 928, November/December 2023. https://doi.org/10.57262/die036-1112-907
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