A Stochastic Model for Transport of Particulate Matter in Air: An Asymptotic Analysis

Authors: Gorostiza L.G.¹; Rodrigues E.R.²

Source: Acta Applicandae Mathematicae, Volume 59, Number 1, October 1999 , pp. 21-43(23)

Publisher: Springer

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Abstract:

A branching particle system with changes of size is considered as a model for transport of particulate matter in air. This type of model is motivated by problems arising in the context of air pollution. High-density fluctuation limits for the process recording the positions and sizes of the particles through time are presented. These results allow to compute approximate probabilities for the temporal and spatial concentrations of particles of given sizes (in particular the small-sized pollutant particles which pose a health hazard).

Keywords: spatial branching process; change of size; stochastic model for air pollution; fluctuation limit

Language: English

Document Type: Regular paper

Affiliations: 1: Centro de Investigación y de Estudios Avanzados, A.P. 14-740, México 07000 D.F., México. e-mail: gortega@servidor.unam.mx 2: Instituto de Matemáticas, UNAM, Area de la Investigación Científica, Circuito Exterior, CU, México 04510 D.F., México. e-mail: eliane@gauss.matem.unam.mx

Publication date: 1999-10-01