The traveling wave solutions of the 1D hyperbolic Keller-Segel equations
Xin Liu, William Kyle Barker
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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