A nonlocal coagulation-fragmentation model

Mirosław Lachowicz; Dariusz Wrzosek

Applicationes Mathematicae (2000)

  • Volume: 27, Issue: 1, page 45-66
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Lachowicz, Mirosław, and Wrzosek, Dariusz. "A nonlocal coagulation-fragmentation model." Applicationes Mathematicae 27.1 (2000): 45-66. <http://eudml.org/doc/219259>.

@article{Lachowicz2000,
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 $L_1(Ω)$ setting. Our purpose is to study global (in time) existence, mass conservation and well-posedness of the model.},
author = {Lachowicz, Mirosław, Wrzosek, Dariusz},
journal = {Applicationes Mathematicae},
keywords = {integro-differential equations; diffusion; coagulation; nonlocal interaction; fragmentation; kinetic models; integro-differential bilinear equations},
language = {eng},
number = {1},
pages = {45-66},
title = {A nonlocal coagulation-fragmentation model},
url = {http://eudml.org/doc/219259},
volume = {27},
year = {2000},
}

TY - JOUR
AU - Lachowicz, Mirosław
AU - Wrzosek, Dariusz
TI - A nonlocal coagulation-fragmentation model
JO - Applicationes Mathematicae
PY - 2000
VL - 27
IS - 1
SP - 45
EP - 66
AB - 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.
LA - eng
KW - integro-differential equations; diffusion; coagulation; nonlocal interaction; fragmentation; kinetic models; integro-differential bilinear equations
UR - http://eudml.org/doc/219259
ER -

References

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