Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

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

(2013) Michael Winkler   JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions

(2012) Tomasz Cieślak et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel system

(2012) Jan Burczak et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity

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

Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

(2010) Michael Winkler   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model

(2010) Michael Winkler   JOURNAL OF DIFFERENTIAL EQUATIONS

Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity

(2010) Michael Winkler   MATHEMATISCHE NACHRICHTEN

Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system

(2009) Tomasz Cieślak et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Prevention of blow-up by fast diffusion in chemotaxis

(2009) Yung-Sze Choi et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Does a ‘volume-filling effect’ always prevent chemotactic collapse?

(2009) Michael Winkler   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect

(2009) Michael Winkler et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

On the global existence of solutions to an aggregation model

(2008) Remigiusz Kowalczyk et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Chemotaxis with logistic source: Very weak global solutions and their boundedness properties

(2008) Michael Winkler   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A user’s guide to PDE models for chemotaxis

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

Finite-time blow-up in a quasilinear system of chemotaxis

(2008) Tomasz Cieślak et al.   NONLINEARITY