Depleting the signal: Analysis of chemotaxis-consumption models -- A survey

2023/04/05 by Lankeit, Johannes, Winkler, Michael · 1 citation
#35B44 #35K51 #35Q92 #92C17 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.02449

Abstract

We give an overview of analytical results concerned with chemotaxis systems where the signal is absorbed. We recall results on existence and properties of solutions for the prototypical chemotaxis-consumption model and various variants and review more recent findings on its ability to support the emergence of spatial structures.

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