Threshold for shock formation in the hyperbolic Keller-Segel model

DOI10.1016/j.aml.2015.06.001zbMath1330.35250OpenAlexW841620437MaRDI QIDQ894405

Yongki Lee, Hai-liang Liu

Publication date: 30 November 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.06.001

zbMATH Keywords

one space dimensiontraffic flownonlocal conservation lawcritical threshold

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Cell movement (chemotaxis, etc.) (92C17)

Related Items (6)

Global existence and decay rate of the Boussinesq-Burgers system with large initial data ⋮ On the initial value problem for the hyperbolic Keller-Segel equations in Besov spaces ⋮ Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces ⋮ Well-posedness and non-uniform dependence for the hyperbolic Keller-Segel equation in the Besov framework ⋮ Thresholds for shock formation in traffic flow models with nonlocal-concave-convex flux ⋮ Wave breaking in a class of non-local conservation laws

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