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ArticleOriginal scientific text

Title

A nonlocal coagulation-fragmentation model

Authors 1, 2

Affiliations

  1. Institute of Applied Mathematics , Warsaw University, Banacha 2 , 02-097 Warszawa, Poland
  2. Institute of Applied Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

A new nonlocal discrete model of cluster coagulation and fragmentation is proposed. In the model the spatial structure of the processes is taken into account: the clusters may coalesce at a distance between their centers and may diffuse in the physical space Ω. The model is expressed in terms of an infinite system of integro-differential bilinear equations. We prove that some results known in the spatially homogeneous case can be extended to the nonlocal model. In contrast to the corresponding local models the analysis can be carried out in the L1(Ω) setting. Our purpose is to study global (in time) existence, mass conservation and well-posedness of the model.

Keywords

ENG
integro-differential equations, diffusion, coagulation, nonlocal interaction, fragmentation, kinetic models

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Applicationes Mathematicae
2000/27/1
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Pages:
45-66
Main language of publication
English
Received
1999-01-15
Published
2000
Exact and natural sciences