June 17, 2024Open Access

Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

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Abstract

We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system align* cases uₜ = u - (u v) + (x) u- (x) u², \\ vₜ = v - v + u cases align* in bounded domains R² and show that the blow-up set is contained in the set of zeroes of.

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Fuest et al. (Mon,) studied this question.

synapsesocial.com/papers/68e64779b6db6435875d9168 https://doi.org/https://doi.org/10.48550/arxiv.2406.11746

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