| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10678584 | Applied Mathematics Letters | 2005 | 7 Pages |
Abstract
We consider an infinite system of reaction-diffusion equations that models aggregation of particles. Under suitable assumptions on the diffusion coefficients and aggregation rates, we show that this system can be reduced to a scalar equation, for which an explicit self-similar solution is obtained. In addition, pointwise bounds for the solutions of associated initial and initial-boundary value problems are provided.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M.A. Herrero, M. Rodrigo,