一维双曲Keller-Segel方程的行波解
The traveling wave solutions of the 1D hyperbolic Keller-Segel equations
中文总结 AI 辅助
本文研究具有群体感应的一维双曲Keller-Segel方程在单侧远场条件下的行波解，该解在运动坐标系中分段光滑且在间断处满足熵不等式。
中文摘要 AI 辅助
本文旨在研究具有群体感应的一维双曲Keller-Segel方程在单侧远场条件下的行波解。该行波解在运动坐标系中分段光滑，且在间断处满足熵不等式。
英文摘要
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.
