Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime

Tongxing Li; Giuseppe Viglialoro

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arXiv · 2004.10991

Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime

Tongxing Li·Giuseppe Viglialoro

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Abstract

This work deals with a parabolic chemotaxis model with nonlinear diffusion and nonlocal reaction source. The problem is formulated on the whole space and, depending on a specific interplay between the coefficients associated to such diffusion and reaction, we establish that all given solutions are uniformly bounded in time.

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Tongxing Li, Giuseppe Viglialoro. 2020-04-23. Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime. https://arxiv.org/abs/2004.10991

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