Uniform in time $L^\infty$-estimates for an attraction-repulsion chemotaxis system with double saturation (2106.07038v2)

Published 13 Jun 2021 in math.AP

Abstract: In this paper we focus on an attraction-repulsion chemotaxis model with consumed signals, formulated in bounded and smooth domains $\Omega$ of $\R^n$, with $n\geq 2$. We derive sufficient conditions on its data yielding global and bounded classical solutions to the related zero-flux Cauchy problem.

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