Concepedia

An optimal result for global existence in a three-dimensional Keller–Segel–Navier–Stokes system involving tensor-valued sensitivity with saturation

Yuanyuan Ke, Jiashan Zheng

Calculus of Variations and Partial Differential Equations · 2019 · 79 citations · 41 references

DOI

Concepts

References

41

Model for chemotaxis

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1971 · 1.9K citations

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

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

, , +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

, , +12

Boundedness vs. blow-up in a chemotaxis system

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

, , +9

From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

Dirk Horstmann · 2003 · 907 citations

, , +7