Finite-Time Blow-up of Solutions of an Aggregation Equation in R n

This publication has 24 references indexed in Scilit:

• On an aggregation model with long and short range interactions
  Nonlinear Analysis: Real World Applications, 2007
• Self-Propelled Particles with Soft-Core Interactions: Patterns, Stability, and Collapse
  Physical Review Letters, 2006
• An integro-differential equation arising as a limit of individual cell-based models
  Journal of Differential Equations, 2006
• Nonequilibrium statistical mechanics of swarms of driven particles
  Complexity, 2003
• Diffusion, attraction and collapse
  Nonlinearity, 1999
• Partial Differential Equations
  1996
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
  Nonlinearity, 1994
• Geometric Statistics in Turbulence
  SIAM Review, 1994
• A simple one‐dimensional model for the three‐dimensional vorticity equation
  Communications on Pure and Applied Mathematics, 1985
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
  Communications in Mathematical Physics, 1984