Keller-Segel chemotaxis models: a review
type: Item
instance of: scholarly article
title: Keller-Segel chemotaxis models: a review
zbMATH Open document ID: 1464.35001
author: G. Arumugam
author: J. Tyagi
published in: Acta Applicandae Mathematicae
publication date: 2021-05-19T00:00:00Z
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 7349872
zbMATH Keywords: Keller-Segel models
zbMATH Keywords: renormalized solutions
zbMATH Keywords: local existence
zbMATH Keywords: global existence
zbMATH Keywords: boundedness
zbMATH Keywords: stabilization
zbMATH Keywords: finite difference method
zbMATH Keywords: finite element method
zbMATH Keywords: finite volume method
zbMATH Keywords: discontinuous Galerkin method
describes a project that uses: Chemotaxis
MaRDI profile type: Publication
full work available at URL: s10440-020-00374-2
OpenAlex ID: W3112647857
cites work: Eventual smoothness and stabilization of global weak solutions in parabolic-elliptic chemotaxis systems with logarithmic sensitivity
cites work: Nonnegative solutions to time fractional Keller–Segel system
cites work: Semi-implicit finite volume schemes for a chemotaxis-growth model
cites work: Finite volume methods for degenerate chemotaxis model
cites work: Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion
cites work: Large Mass Global Solutions for a Class ofL1-Critical Nonlocal Aggregation Equations and Parabolic-Elliptic Patlak-Keller-Segel Models
cites work: Finite-time blow-up in a degenerate chemotaxis system with flux limitation
cites work: A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up
cites work: Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
cites work: Global existence and blow up of solutions of quasilinear chemotaxis system
cites work: Q4254459
cites work: Global and Exploding Solutions for Nonlocal Quadratic Evolution Problems
cites work: Existence of Solutions for the Keller–Segel Model of Chemotaxis with Measures as Initial Data
cites work: Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis
cites work: Global radial solutions in classical Keller-Segel model of chemotaxis
cites work: Boundedness in a Keller-Segel system with external signal production
cites work: A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
cites work: Q3431715
cites work: Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
cites work: Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
cites work: Model for chemotactic bacterial bands
cites work: Q4337604
cites work: The Mathematical Theory of Finite Element Methods
cites work: Precise computations of chemotactic collapse using moving mesh methods
cites work: A mixed finite element method for nonlinear diffusion equations
cites work: Volume effects in the Keller--Segel model: energy estimates preventing blow-up
cites work: The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
cites work: CROSS DIFFUSION AND NONLINEAR DIFFUSION PREVENTING BLOW UP IN THE KELLER–SEGEL MODEL
cites work: A finite volume scheme for a Keller-Segel model with additional cross-diffusion
cites work: A stochastic Keller-Segel model of chemotaxis
cites work: Finite Element Methods and Their Applications
cites work: A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
cites work: High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
cites work: Nonlinear aspects of chemotaxis
cites work: Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation
cites work: Finite-time blow-up in a quasilinear system of chemotaxis
cites work: Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
cites work: Global bounded solutions in a two-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity
cites work: A degenerate \(p\)-Laplacian Keller-Segel model
cites work: Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic Keller-Segel system in the plane
cites work: Mathematical aspects of discontinuous Galerkin methods.
cites work: Upwind-difference potentials method for Patlak-Keller-Segel chemotaxis model
cites work: Discontinuous Galerkin methods for the chemotaxis and haptotaxis models
cites work: Fully discrete analysis of a discontinuous finite element method for the keller-segel chemotaxis model
cites work: New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model
cites work: Efficient numerical algorithms based on difference potentials for chemotaxis systems in 3D
cites work: Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization

Keller-Segel chemotaxis models: a review (cites work)
cites work: A finite volume scheme for the Patlak-Keller-Segel chemotaxis model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and boundedness in a chemorepulsion system with superlinear diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite-time blow-up in a two-dimensional Keller-Segel system with an environmental dependent logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up profiles in quasilinear fully parabolic Keller–Segel systems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in a fully parabolic chemotaxis system with singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in a fully parabolic chemotaxis system with strongly singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: On a parabolic-elliptic system with chemotaxis and logistic type growth

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite Elements

Keller-Segel chemotaxis models: a review (cites work)
cites work: Existence of global solution to a two-species Keller–Segel chemotaxis model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Numerical approximation of hyperbolic systems of conservation laws

Keller-Segel chemotaxis models: a review (cites work)
cites work: Energy dissipative local discontinuous Galerkin methods for Keller-Segel chemotaxis model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite-time blow-up for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

Keller-Segel chemotaxis models: a review (cites work)
cites work: Q5756148

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence for a parabolic chemotaxis model with prevention of overcrowding

Keller-Segel chemotaxis models: a review (cites work)
cites work: A user's guide to PDE models for chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model

Keller-Segel chemotaxis models: a review (cites work)
cites work: The nonsymmetric case of the Keller-Segel model in chemotaxis: some recent results.

Keller-Segel chemotaxis models: a review (cites work)
cites work: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up in a chemotaxis model without symmetry assumptions

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness vs. blow-up in a chemotaxis system

Keller-Segel chemotaxis models: a review (cites work)
cites work: The full Keller–Segel model is well-posed on nonsmooth domains

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type

Keller-Segel chemotaxis models: a review (cites work)
cites work: Possibility of the existence of blow‐up solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility

Keller-Segel chemotaxis models: a review (cites work)
cites work: Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Existence of weak and regular solutions for Keller-Segel system with degradation coupled to fluid equations

Keller-Segel chemotaxis models: a review (cites work)
cites work: Initiation of slime mold aggregation viewed as an instability

Keller-Segel chemotaxis models: a review (cites work)
cites work: Traveling bands of chemotactic bacteria: a theoretical analysis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Model for chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: On the global existence of solutions to an aggregation model

Keller-Segel chemotaxis models: a review (cites work)
cites work: The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces

Keller-Segel chemotaxis models: a review (cites work)
cites work: Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid

Keller-Segel chemotaxis models: a review (cites work)
cites work: Q5369636

Keller-Segel chemotaxis models: a review (cites work)
cites work: Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms

Keller-Segel chemotaxis models: a review (cites work)
cites work: Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption

Keller-Segel chemotaxis models: a review (cites work)
cites work: A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data

Keller-Segel chemotaxis models: a review (cites work)
cites work: Facing low regularity in chemotaxis systems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite time blowup for the parabolic-parabolic Keller-Segel system with critical diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: On a fully parabolic chemotaxis system with nonlinear signal secretion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production

Keller-Segel chemotaxis models: a review (cites work)
cites work: On a Keller-Segel-Stokes system with logistic type growth: blow-up prevention enforced by sublinear signal production

Keller-Segel chemotaxis models: a review (cites work)
cites work: Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS

Keller-Segel chemotaxis models: a review (cites work)
cites work: Local discontinuous Galerkin method for the Keller-Segel chemotaxis model

Keller-Segel chemotaxis models: a review (cites work)
cites work: A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions

Keller-Segel chemotaxis models: a review (cites work)
cites work: A note on \(L^\infty\)-bound and uniqueness to a degenerate Keller-Segel model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Numerical simulation of chemotactic bacteria aggregation via mixed finite elements

Keller-Segel chemotaxis models: a review (cites work)
cites work: The variational formulation of the fully parabolic Keller-Segel system with degenerate diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Type II blowup in a doubly parabolic Keller-Segel system in two dimensions

Keller-Segel chemotaxis models: a review (cites work)
cites work: Nondegeneracy of blow-up points for the parabolic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Determination of blowup type in the parabolic-parabolic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: A unified method for boundedness in fully parabolic chemotaxis systems with signal‐dependent sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Mathematical biology. Vol. 2: Spatial models and biomedical applications.

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence of solutions to a parabolic system for chemotaxis in two space dimensions

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and blowup of solutions to a chemotaxis system.

Keller-Segel chemotaxis models: a review (cites work)
cites work: Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence of solutions to a parabolic-elliptic chemotaxis system with critical degenerate diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: On a parabolic-elliptic system with gradient dependent chemotactic coefficient

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and asymptotic behavior of solutions to a predator-prey chemotaxis system with two chemicals

Keller-Segel chemotaxis models: a review (cites work)
cites work: Mathematical models for chemotaxis and their applications in self-organisation phenomena

Keller-Segel chemotaxis models: a review (cites work)
cites work: Q4659860

Keller-Segel chemotaxis models: a review (cites work)
cites work: Random walk with persistence and external bias

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up and decay criteria for a model of chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Lower bounds for blow-up in a model of chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Decay for a Keller–Segel Chemotaxis Model

Keller-Segel chemotaxis models: a review (cites work)
cites work: A priori error estimate for the Baumann-Oden version of the discontinuous Galerkin method

Keller-Segel chemotaxis models: a review (cites work)
cites work: Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

Keller-Segel chemotaxis models: a review (cites work)
cites work: Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Q3568191

Keller-Segel chemotaxis models: a review (cites work)
cites work: Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\)

Keller-Segel chemotaxis models: a review (cites work)
cites work: Parabolic–elliptic chemotaxis model with space–time-dependent logistic sources on ℝN. I. Persistence and asymptotic spreading

Keller-Segel chemotaxis models: a review (cites work)
cites work: Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). II: Existence, uniqueness, and stability of strictly positive entire solutions

Keller-Segel chemotaxis models: a review (cites work)
cites work: Parabolic system of chemotaxis: Blowup in a finite and the infinite time.

Keller-Segel chemotaxis models: a review (cites work)
cites work: Existence and uniqueness of solutions of degenerate chemotaxis system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions ${n\geq 3}$

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global weak solutions in a chemotaxis system with large singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Efficient, accurate and flexible finite element solvers for chemotaxis problems

Keller-Segel chemotaxis models: a review (cites work)
cites work: A positivity-preserving finite element method for chemotaxis problems in 3D

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and decay properties of solutions for some degenerate quasilinear parabolic systems modelling chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems.

Keller-Segel chemotaxis models: a review (cites work)
cites work: Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis.

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and decay properties for a degenerate Keller-Segel model with a power factor in drift term

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global solutions to a chemotaxis system with non-diffusive memory

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and time decay estimate of solutions to the Keller–Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global smooth solvability of a parabolic-elliptic nutrient taxis system in domains of arbitrary dimension

Keller-Segel chemotaxis models: a review (cites work)
cites work: Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness of solutions to a quasilinear parabolic-parabolic chemotaxis model with nonlinear signal production

Keller-Segel chemotaxis models: a review (cites work)
cites work: A Chemotaxis System with Logistic Source

Keller-Segel chemotaxis models: a review (cites work)
cites work: Galerkin Finite Element Methods for Parabolic Problems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: Solvability of a Keller–Segel system with signal-dependent sensitivity and essentially sublinear production

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global bounded weak solutions to a degenerate quasilinear chemotaxis system with rotation

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Supercritical degenerate parabolic-parabolic Keller-Segel system: existence criterion given by the best constant in Sobolev's inequality

Keller-Segel chemotaxis models: a review (cites work)
cites work: The fast signal diffusion limit in Keller-Segel(-fluid) systems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Chemotaxis with logistic source: very weak global solutions and their boundedness properties

Keller-Segel chemotaxis models: a review (cites work)
cites work: Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global solutions in a fully parabolic chemotaxis system with singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Does a ‘volume-filling effect’ always prevent chemotactic collapse?

Keller-Segel chemotaxis models: a review (cites work)
cites work: Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: The two-dimensional Keller-Segel system with singular sensitivity and signal absorption: global large-data solutions and their relaxation properties

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

Keller-Segel chemotaxis models: a review (cites work)
cites work: Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption

Keller-Segel chemotaxis models: a review (cites work)
cites work: Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite-time blow-up in low-dimensional Keller-Segel systems with logistic-type superlinear degradation

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global classical solvability and generic infinite-time blow-up in quasilinear Keller-Segel systems with bounded sensitivities

Keller-Segel chemotaxis models: a review (cites work)
cites work: Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?

Keller-Segel chemotaxis models: a review (cites work)
cites work: How unstable is spatial homogeneity in Keller-Segel systems? A new critical mass phenomenon in two- and higher-dimensional parabolic-elliptic cases

Keller-Segel chemotaxis models: a review (cites work)
cites work: Does repulsion-type directional preference in chemotactic migration continue to regularize Keller-Segel systems when coupled to the Navier-Stokes equations?

Keller-Segel chemotaxis models: a review (cites work)
cites work: Instantaneous regularization of distributions from \((C^0)^\star \times L^2\) in the one-dimensional parabolic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up profiles and life beyond blow-up in the fully parabolic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect

Keller-Segel chemotaxis models: a review (cites work)
cites work: Stabilization in the logarithmic Keller-Segel system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global attractor for a chemotaxis model with prevention of overcrowding

Keller-Segel chemotaxis models: a review (cites work)
cites work: On the well-posedness for Keller-Segel system with fractional diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source

Keller-Segel chemotaxis models: a review (cites work)
cites work: How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?

Keller-Segel chemotaxis models: a review (cites work)
cites work: Chemotactic Aggregation versus Logistic Damping on Boundedness in the 3D Minimal Keller--Segel Model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

Keller-Segel chemotaxis models: a review (cites work)
cites work: Globally bounded in-time solutions to a parabolic-elliptic system modelling chemotaxis

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Existence of solutions to chemotaxis dynamics with Lipschitz diffusion and superlinear growth

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global classical solutions to the Keller-Segel-Navier-Stokes system with matrix-valued sensitivity

Keller-Segel chemotaxis models: a review (cites work)
cites work: Operator splitting combined with positivity-preserving discontinuous Galerkin method for the chemotaxis model

Keller-Segel chemotaxis models: a review (cites work)
cites work: Characteristic splitting mixed finite element analysis of Keller-Segel chemotaxis models

Keller-Segel chemotaxis models: a review (cites work)
cites work: Well-posedness and Gevrey analyticity of the generalized Keller-Segel system in critical Besov spaces

Keller-Segel chemotaxis models: a review (cites work)
cites work: Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: A quasilinear parabolic–elliptic chemotaxis-growth system with nonlinear secretion

Keller-Segel chemotaxis models: a review (cites work)
cites work: Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux

Keller-Segel chemotaxis models: a review (cites work)
cites work: Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source

Keller-Segel chemotaxis models: a review (cites work)
cites work: Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis

Keller-Segel chemotaxis models: a review (DOI)
DOI: 10.1007/S10440-020-00374-2

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: Kinetic Models of Chemotaxis
Similarity Score: 0.92515016
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: A stochastic Keller-Segel model of chemotaxis
Similarity Score: 0.9198372
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: The nonsymmetric case of the Keller-Segel model in chemotaxis: some recent results.
Similarity Score: 0.9176529
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: Q3374485
Similarity Score: 0.9155041
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
Similarity Score: 0.9153913
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
Similarity Score: 0.91138613
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
Similarity Score: 0.91039985
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: Kinetic models for chemotaxis and their drift-diffusion limits
Similarity Score: 0.90575206
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
Similarity Score: 0.90414625
Recommender Run: Recommender Run 3

Keller-Segel chemotaxis models: a review (Recommended article)
Recommended article: The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
Similarity Score: 0.9010958
Recommender Run: Recommender Run 3