A note on Smoluchowski's equations with diffusion
RIS ID
86648
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.
Publication Details
Herrero, M. A. & Rodrigo, M. (2005). A note on Smoluchowski's equations with diffusion. Applied Mathematics Letters, 18 (9), 969-975.