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Corpus ID: 227127670

Nonlocal reaction preventing blow-up in the supercritical case of chemotaxis

@article{Latos2020NonlocalRP,
title={Nonlocal reaction preventing blow-up in the supercritical case of chemotaxis},
author={E. Latos},
journal={arXiv: Analysis of PDEs},
year={2020}
}

This paper studies the non-negative solutions of the Keller-Segel model with a nonlocal nonlinear source in a bounded domain. The competition between the aggregation and the nonlocal reaction term is highlighted: when the growth factor is stronger than the dampening effect, with the help of the nonlocal term, the model admits a classical solution which is uniformly bounded. Moreover, when the growth factor is of the same order compared to the dampening effect, the nonlocal nonlinear exponents… CONTINUE READING