Geodesic
A nonlocal coagulation-fragmentation model
Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 45-66.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $L_1(Ω)$ setting. Our purpose is to study global (in time) existence, mass conservation and well-posedness of the model.
DOI : 10.4064/am-27-1-45-66
Mots-clés : integro-differential equations, diffusion, coagulation, nonlocal interaction, fragmentation, kinetic models

Mirosław Lachowicz 1 ; Dariusz Wrzosek 1

1 
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Mirosław Lachowicz; Dariusz Wrzosek. A nonlocal coagulation-fragmentation model. Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 45-66. doi : 10.4064/am-27-1-45-66. http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-45-66/

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