Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation

From MaRDI portal
Publication:3386869

DOI10.1142/S0218202520500396zbMath1451.35226arXiv2005.07725MaRDI QIDQ3386869

Michael Winkler, Nancy Y. Rodriguez

Publication date: 7 January 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07725



Related Items

Global solvability and stabilization in a three-dimensional cross-diffusion system modeling urban crime propagation, On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime, Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation, Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision, Generalized solutions for a system of partial differential equations arising from urban crime modeling with a logistic source term, Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source, On a crime model in higher-dimensional setting: global generalized solvability and eventual smoothness, Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity, Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities, Eventual smoothness of generalized solutions to a singular chemotaxis system for urban crime in space dimension 2, Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling, Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime, Boundedness and asymptotic behavior of solutions to one-dimensional urban crime system with nonlinear diffusion, A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior, Global existence in a chemotaxis system with singular sensitivity and signal production



Cites Work