%0 Journal Article
%A Herrero, Miguel A.
%A Rodrigo, Marianito R.
%T A note on Smoluchowski's equations with diffusion
%D 2005
%@ 0893-9659
%U https://hdl.handle.net/20.500.14352/50102
%X 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.
%~