Uniform in time L^∞-estimates for an attraction-repulsion chemotaxis system with double saturation

2021/06/13 by Frassu, Silvia, Galván, Rafael Rodríguez, Viglialoro, Giuseppe
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.07038

Abstract

In this paper we focus on an attraction-repulsion chemotaxis model with consumed signals, formulated in bounded and smooth domains Ω of \Rⁿ, with n≥ 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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