Boundedness and decay property in a three-dimensional Keller–Segel–Stokes system involving tensor-valued sensitivity with saturation

Initiation of slime mold aggregation viewed as an instability

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.7K citations

Engineering, Materials Engineering, Materials Science +10

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

Solutions for semilinear parabolic equations in Lp and regularity of weak solutions of the Navier-Stokes system

Yoshikazu Giga · Journal of Differential Equations · 1986 · 896 citations

Natural Sciences, Mathematics, Physics +15

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

Youshan Tao, Michael Winkler · Journal of Differential Equations · 2011 · 875 citations

Natural Sciences, Mechanical Engineering, Physics +12

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

Michael Winkler · Communications in Partial Differential Equations · 2010 · 817 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +11