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2000 | 27 | 1 | 45-66
Tytuł artykułu

A nonlocal coagulation-fragmentation model

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
27
Numer
1
Strony
45-66
Opis fizyczny
Daty
wydano
2000
otrzymano
1999-01-15
Twórcy
  • Institute of Applied Mathematics , Warsaw University, Banacha 2 , 02-097 Warszawa, Poland
  • Institute of Applied Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
Bibliografia
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Typ dokumentu
Bibliografia
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