Explicit families of entropy-admissible stationary and traveling wave solutions are constructed and classified for the 1D hyperbolic Keller-Segel system with quorum sensitivity.
Uniqueness and Long Time Asymp- totic for the Keller–Segel Equation: The Parabolic–Elliptic Case.Archive for Rational Mechanics and Analysis, 220(3):1159–1194, June 2016
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The traveling wave solutions of the 1D hyperbolic Keller-Segel equations
Explicit families of entropy-admissible stationary and traveling wave solutions are constructed and classified for the 1D hyperbolic Keller-Segel system with quorum sensitivity.