Prevention of blow-up by fast diffusion in chemotaxis

This publication has 10 references indexed in Scilit:

• A user’s guide to PDE models for chemotaxis
  Journal of Mathematical Biology, 2008
• Transport, reaction, and delay in mathematical biology, and the inverse problem for traveling fronts
  Journal of Mathematical Sciences, 2008
• Classical solutions and pattern formation for a volume filling chemotaxis model
  Chaos: An Interdisciplinary Journal of Nonlinear Science, 2007
• Global attractor for a chemotaxis model with prevention of overcrowding
  Nonlinear Analysis, 2004
• Lyapunov functions and L^p-estimates for a class of reaction-diffusion systems
  Colloquium Mathematicum, 2001
• Multi-dimensional electrochemistry model
  Archive for Rational Mechanics and Analysis, 1995
• Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems
  Differential and Integral Equations, 1990
• Dynamic theory of quasilinear parabolic systems
  Mathematische Zeitschrift, 1989
• An application of the invariance principle to reaction-diffusion equations
  Journal of Differential Equations, 1979
• Initiation of slime mold aggregation viewed as an instability
  Journal of Theoretical Biology, 1970