A study of blow-ups in the Keller–Segel model of chemotaxis

A Flux-Corrected Finite Element Method for Chemotaxis Problems

(2013) R. Strehl et al.   Computational Methods in Applied Mathematics

On spectra of linearized operators for Keller–Segel models of chemotaxis

(2012) S.I. Dejak et al.   PHYSICA D-NONLINEAR PHENOMENA

Convergence of a Stochastic Particle Approximation for Measure Solutions of the 2D Keller-Segel System

(2011) Jan Haškovec et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Confinement in nonlocal interaction equations

(2011) J.A. Carrillo et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Lp theory for the multidimensional aggregation equation

(2010) Andrea L. Bertozzi et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Critical chemotactic collapse

(2010) Pavel M. Lushnikov   PHYSICS LETTERS A

The two-dimensional Keller-Segel model after blow-up

(2009) Jean Dolbeault et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Fully Discrete Analysis of a Discontinuous Finite Element Method for the Keller-Segel Chemotaxis Model

(2009) Yekaterina Epshteyn et al.   JOURNAL OF SCIENTIFIC COMPUTING

Stochastic Particle Approximation for Measure Valued Solutions of the 2D Keller-Segel System

(2009) Jan Haškovec et al.   JOURNAL OF STATISTICAL PHYSICS

Blow-up in multidimensional aggregation equations with mildly singular interaction kernels

(2009) Andrea L Bertozzi et al.   NONLINEARITY

Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis I: The Single Cell

(2008) M. J. Tindall et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations

(2008) M. J. Tindall et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

(2008) Yekaterina Epshteyn   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

(2008) Adrien Blanchet et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model

(2008) Yekaterina Epshteyn et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2

(2007) Adrien Blanchet et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS