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arXiv · 2608.12226

The traveling wave solutions of the 1D hyperbolic Keller-Segel equations

Xin Liu·William Kyle Barker
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Abstract

The goal of this paper is to investigate the traveling wave solutions with one-sided far field conditions for the one-dimensional hyperbolic Keller-Segel equations with quorum sensitivity. The traveling wave solutions are piece-wise smooth in the moving coordinate, and satisfy the entropy inequality at the discontinuity.

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Xin Liu, William Kyle Barker. 2026-08-12. The traveling wave solutions of the 1D hyperbolic Keller-Segel equations. https://arxiv.org/abs/2608.12226

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