Concepedia
Nonlinear Analysis Real World Applications · 2013 · 44 citations · 26 references
Global AnalysisLocal Well-posednessParabolic Equation
26
Initiation of slime mold aggregation viewed as an instability
Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1970 · 3.6K citations
Mold Control, Pattern Formation, Engineering +7
Remarks on the breakdown of smooth solutions for the 3-D Euler equations
J. Thomas Beale, T. Kato, Andrew J. Majda · Communications in Mathematical Physics · 1984 · 1.5K citations
3-D Euler Equations, Global Analysis, Nonlinear Hyperbolic Problem +2
Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
Michael Winkler · Journal of Differential Equations · 2010 · 1.3K citations
Global Diffusive Behavior, Theoretical Modeling, Mathematical Statistical Physic +1
Boundedness vs. blow-up in a chemotaxis system
Dirk Horstmann, Michael Winkler · Journal of Differential Equations · 2004 · 982 citations
Dynamic Equilibrium, Stability, Active Matter +2
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity
Youshan Tao, Michael Winkler · Journal of Differential Equations · 2011 · 834 citations
Subcritical Sensitivity, Nonlinear Hyperbolic Problem, Parabolic Equation