A study of blow-ups in the Keller-Segel model of chemotaxis
arXiv:1006.4978 · doi:10.1088/0951-7715/26/1/81
Abstract
We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to accurately resolve singular solutions. The numerical findings (in two dimensions) are then compared with analytical predictions regarding formation and interaction of singularities obtained via analysis of the stochastic differential equations associated with the Keller-Segel model.
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Cited by in corpus (6)
- An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model
- Free energy of a chemotactic model with nonlinear diffusion
- Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis
- Discontinuous phase transition in chemotactic aggregation with density-dependent pressure
- Agent-Based Simulation of the Two-Dimensional Patlak-Keller-Segel Model
- Exact traveling wave solutions of 1D parabolic-parabolic models of chemotaxis