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Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation

Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation

In this work, we describe a hyperbolic model with cell–cell repulsion with a dynamics in the population of cells. More precisely, we consider a population of cells producing a field (which we call “pressure”) which induces a motion of the cells following the opposite of the gradient. The field indicates …