The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties

Initial–boundary value problems for a system of hyperbolic balance laws arising from chemotaxis

(2015) Huicong Li et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

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

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

Finite-time blow-up in the higher-dimensional parabolic–parabolic Keller–Segel system

(2013) Michael Winkler   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity

(2013) Hai-Yang Jin et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global well-posedness for a multidimensional chemotaxis model in critical Besov spaces

(2012) Chengchun Hao   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant

(2011) Youshan Tao et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Boundedness in a chemotaxis model with oxygen consumption by bacteria

(2011) Youshan Tao   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS

(2011) DONG LI et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

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

NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS

(2010) TONG LI et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Logarithmic Sensing in Escherichia coli Bacterial Chemotaxis

(2009) Yevgeniy V. Kalinin et al.   BIOPHYSICAL JOURNAL

Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis

(2009) Tong Li et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY