Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling

DOI10.3934/dcdsb.2022167zbMath1516.35420OpenAlexW4293462309WikidataQ114854444 ScholiaQ114854444MaRDI QIDQ6155165

Unnamed Author, Li Xie

Publication date: 9 June 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022167

zbMATH Keywords

long-time behaviorgeneralized solutionchemotaxis systemeventual smoothnesscrime modelling

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) Principal-agent models (91B43)

Related Items (6)

On a crime model in higher-dimensional setting: global generalized solvability and eventual smoothness ⋮ Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities ⋮ Can Dirac-type singularities in Keller-Segel systems be ruled out by power-type singular sensitivities? ⋮ Eventual smoothness of generalized solutions to a singular chemotaxis system for urban crime in space dimension 2 ⋮ Global classical solvability and asymptotic behaviors of a parabolic-elliptic chemotaxis-type system modeling crime activities ⋮ A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior

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