A generalized solution concept for the Keller–Segel system with logarithmic sensitivity: global solvability for large nonradial data

A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity

(2017) Masaaki Mizukami et al.   MATHEMATISCHE NACHRICHTEN

Global boundedness of solutions in a parabolic–parabolic chemotaxis system with singular sensitivity

(2016) Xiangdong Zhao et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Global existence and boundedness of radial solutions to a two dimensional fully parabolic chemotaxis system with general sensitivity

(2016) Kentarou Fujie et al.   NONLINEARITY

Persistence of mass in a chemotaxis system with logistic source

(2015) Youshan Tao et al.   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

Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities

(2015) Michael Winkler   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

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

(2013) Michael Winkler   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Measure Valued Solutions of the 2D Keller–Segel System

(2012) S. Luckhaus et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

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

A user’s guide to PDE models for chemotaxis

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