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## Applicationes Mathematicae

2000 | 27 | 1 | 45-66
Tytuł artykułu

### A nonlocal coagulation-fragmentation model

Autorzy
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.
Słowa kluczowe
EN
Czasopismo
Rocznik
Tom
Numer
Strony
45-66
Opis fizyczny
Daty
wydano
2000
otrzymano
1999-01-15
Twórcy
autor
• Institute of Applied Mathematics , Warsaw University, Banacha 2 , 02-097 Warszawa, Poland
autor
• Institute of Applied Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
Bibliografia
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• [BL] N. Bellomo and M. Lachowicz, Mathematical biology and kinetic theory: Evolution of the dominance in a population of interacting organisms, in: Nonlinear Kinetic Theory and Hyperbolic Systems, V. Boffi et al. (eds.), World Sci., Singapore, 1992, 11-20.
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• [Wr] D. Wrzosek, Existence of solution for the discrete coagulation-fragmentation model with diffusion, Topol. Methods Nonlinear Anal. 9 (1997), 279-296.
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Bibliografia
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