Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier–Stokes system with competitive kinetics

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

Michael Winkler · Journal of Differential Equations · 2010 · 1.3K citations

Natural Sciences, Mathematics, Physics +10

Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

Nicola Bellomo, Abdelghani Bellouquid, Yixin Tao et al. · Mathematical Models and Methods in Applied Sciences · 2015 · 1.1K citations

Life Sciences, Biology, Chemical Kinetics +12

Boundedness vs. blow-up in a chemotaxis system

Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 1K citations

Natural Sciences, Mathematics, Dynamical Systems +9

Bacterial swimming and oxygen transport near contact lines

Idán Tuval, Luis Cisneros, Christopher Dombrowski et al. · Proceedings of the National Academy of Sciences · 2005 · 789 citations · Full text

Life Sciences, Biology, Microbiology +15

Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

Michael Winkler · Communications in Partial Differential Equations · 2012 · 712 citations

Engineering, Biophysics, Biological Systems Modeling +9