Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities
From MaRDI portal
Publication:6133471
DOI10.1142/s0218202523500306zbMath1517.35229MaRDI QIDQ6133471
Publication date: 24 July 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Generalized solutions to partial differential equations (35D99)
Related Items (6)
On a crime model in higher-dimensional setting: global generalized solvability and eventual smoothness ⋮ 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 ⋮ Smoothness effects of a quadratic damping term of mixed type on a chemotaxis-type system modeling propagation of urban crime ⋮ 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
Cites Work
- Unnamed Item
- From a systems theory of sociology to modeling the onset and evolution of criminality
- Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent \(m > 0\)
- Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity
- Cops on the dots in a mathematical model of urban crime and police response
- The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime
- Gang rivalry dynamics via coupled point process networks
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
- Global weak solutions in a chemotaxis system with large singular sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Compact sets in the space \(L^ p(0,T;B)\)
- Geometric theory of semilinear parabolic equations
- Global well-posedness of logarithmic Keller-Segel type systems
- Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime
- Unlimited growth in logarithmic Keller-Segel systems
- Global solvability and stabilization in a three-dimensional cross-diffusion system modeling urban crime propagation
- Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system
- Generalized solutions for a system of partial differential equations arising from urban crime modeling with a logistic source term
- Global well-posedness and uniform boundedness of urban crime models: one-dimensional case
- Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Global boundedness to a chemotaxis system with singular sensitivity and logistic source
- A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
- Stabilization in the logarithmic Keller-Segel system
- On localised hotspots of an urban crime model
- On the global well-posedness theory for a class of PDE models for criminal activity
- Chemotaxis and growth system with singular sensitivity function
- Linear and quasilinear elliptic equations
- Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Global Bifurcation of Solutions for Crime Modeling Equations
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
- Mathematical analysis of a continuous version of statistical model for criminal behavior
- Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
- The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- Self-organised critical hot spots of criminal activity
- Adding police to a mathematical model of burglary
- Global solutions to a higher‐dimensional system related to crime modeling
- Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
- Exploring data assimilation and forecasting issues for an urban crime model
- Hotspot formation and dynamics for a continuum model of urban crime
- Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect
- Crime modeling with truncated Lévy flights for residential burglary models
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
- Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
- Global large-data generalized solutions to a two-dimensional chemotaxis system stemming from crime modelling
This page was built for publication: Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities
