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math.AP2026
The traveling wave solutions of the 1D hyperbolic Keller-Segel equations
Xin Liu, William Kyle Barker
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 sens…
math.AP2025
Traveling waves in nonclassical diffusion equations
William Barker, Le Xuan Dong, Vu Trong Luong +1
We study the existence of monotone traveling wave solutions in a class of nonclassical diffusion equations that include both standard diffusion and a higher-order mixed space-time…