Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities
Published 2023 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities
Authors
Keywords
-
Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 33, Issue 06, Pages 1281-1330
Publisher
World Scientific Pub Co Pte Ltd
Online
2023-03-05
DOI
10.1142/s0218202523500306
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Global well‐posedness and uniform boundedness of a higher dimensional crime model with a logistic source term
- (2022) Deqi Wang et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Global Solvability and Stabilization in a Three-Dimensional Cross-Diffusion System Modeling Urban Crime Propagation
- (2022) Yongfeng Jiang et al. ACTA APPLICANDAE MATHEMATICAE
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- (2022) N. Bellomo et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Finite time blow-up in the higher dimensional parabolic-elliptic-ODE minimal chemotaxis-haptotaxis system
- (2022) Tian Xiang JOURNAL OF DIFFERENTIAL EQUATIONS
- Global well-posedness of logarithmic Keller-Segel type systems
- (2021) Jaewook Ahn et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- On the global existence and qualitative behaviour of one-dimensional solutions to a model for urban crime
- (2021) NANCY RODRIGUEZ et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Unlimited growth in logarithmic Keller-Segel systems
- (2021) Michael Winkler JOURNAL OF DIFFERENTIAL EQUATIONS
- Generalized solutions for a system of partial differential equations arising from urban crime modeling with a logistic source term
- (2020) Frederic Heihoff ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- The Existence and Stability of Spike Solutions for a Chemotaxis System Modeling Crime Pattern Formation
- (2020) Linfeng Mei et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Global well-posedness and uniform boundedness of urban crime models: One-dimensional case
- (2020) Qi Wang et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
- (2020) Nancy Rodríguez et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Global existence and convergence rates to a chemotaxis-fluids system with mixed boundary conditions
- (2019) Yingping Peng et al. JOURNAL OF DIFFERENTIAL EQUATIONS
- Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation
- (2019) Michael Winkler ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
- Mathematical analysis of a continuous version of statistical model for criminal behavior
- (2019) Jieqiong Shen et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Global solutions to a higher-dimensional system related to crime modeling
- (2018) Marcel Freitag MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Global solutions to the coupled chemotaxis-fluids system in a 3D unbounded domain with boundary
- (2018) Yingping Peng et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Crime modeling with truncated Lévy flights for residential burglary models
- (2018) Chaohao Pan et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Stabilization in the logarithmic Keller–Segel system
- (2018) Michael Winkler et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
- (2018) Elio Espejo et al. NONLINEARITY
- Asynchronous Instabilities of Crime Hotspots for a 1-D Reaction-Diffusion Model of Urban Crime with Focused Police Patrol
- (2018) Wang Hung Tse et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data
- (2017) Johannes Lankeit et al. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
- Stationary patterns and their selection mechanism of urban crime models with heterogeneous near-repeat victimization effect
- (2016) YU GU et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
- (2016) Michael Winkler MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system
- (2016) Youshan Tao et al. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- Global boundedness to a chemotaxis system with singular sensitivity and logistic source
- (2016) Xiangdong Zhao et al. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
- Exploring data assimilation and forecasting issues for an urban crime model
- (2015) DAVID J. B. LLOYD et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Hotspot formation and dynamics for a continuum model of urban crime
- (2015) W. H. TSE et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source
- (2015) Tian Xiang JOURNAL OF DIFFERENTIAL EQUATIONS
- Boundedness in a fully parabolic chemotaxis system with singular sensitivity
- (2015) Kentarou Fujie JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
- (2015) Johannes Lankeit MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- (2015) N. Bellomo et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- From a systems theory of sociology to modeling the onset and evolution of criminality
- (2015) Nicola Bellomo et al. Networks and Heterogeneous Media
- Statistical physics of crime: A review
- (2015) Maria R. D'Orsogna et al. Physics of Life Reviews
- Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
- (2015) Michael Winkler SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces
- (2014) Xinru Cao DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
- Blow-up prevention by logistic sources in a parabolic–elliptic Keller–Segel system with singular sensitivity
- (2014) Kentarou Fujie et al. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model
- (2014) Henri Berestycki et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- (2014) Christian Stinner et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0
- (2013) Shen Bian et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- On localised hotspots of an urban crime model
- (2013) David J.B. Lloyd et al. PHYSICA D-NONLINEAR PHENOMENA
- CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
- (2012) THOMAS HILLEN et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- On the global well-posedness theory for a class of PDE models for criminal activity
- (2012) N. Rodríguez PHYSICA D-NONLINEAR PHENOMENA
- Role of social interactions in dynamic patterns of resource patches and forager aggregation
- (2012) N. Tania et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Global Bifurcation of Solutions for Crime Modeling Equations
- (2012) Robert Stephen Cantrell et al. SIAM JOURNAL ON MATHEMATICAL ANALYSIS
- Self-organised critical hot spots of criminal activity
- (2010) H. BERESTYCKI et al. EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Adding police to a mathematical model of burglary
- (2010) ASHLEY B. PITCHER EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
- (2010) Michael Winkler JOURNAL OF DIFFERENTIAL EQUATIONS
- Global solutions in a fully parabolic chemotaxis system with singular sensitivity
- (2010) Michael Winkler MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A PDE MODEL FOR CRIMINAL BEHAVIOR
- (2010) NANCY RODRIGUEZ et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Dissipation and displacement of hotspots in reaction-diffusion models of crime
- (2010) M. B. Short et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Nonlinear Patterns in Urban Crime: Hotspots, Bifurcations, and Suppression
- (2010) M. B. Short et al. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
- A STATISTICAL MODEL OF CRIMINAL BEHAVIOR
- (2008) M. B. SHORT et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now