A kinetic model for coagulation–fragmentation
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 3, pp. 809-836.

The aim of this paper is to show an existence theorem for a kinetic model of coagulation–fragmentation with initial data satisfying the natural physical bounds, and assumptions of finite number of particles and finite ${L}^{p}$-norm. We use the notion of renormalized solutions introduced by DiPerna and Lions (1989) [3], because of the lack of a priori estimates. The proof is based on weak-compactness methods in ${L}^{1}$, allowed by ${L}^{p}$-norms propagation.

@article{AIHPC_2010__27_3_809_0,
author = {Broizat, Damien},
title = {A kinetic model for coagulation--fragmentation},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {809--836},
publisher = {Elsevier},
volume = {27},
number = {3},
year = {2010},
doi = {10.1016/j.anihpc.2009.11.014},
zbl = {1190.82050},
mrnumber = {2629881},
language = {en},
url = {www.numdam.org/item/AIHPC_2010__27_3_809_0/}
}
Broizat, Damien. A kinetic model for coagulation–fragmentation. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 3, pp. 809-836. doi : 10.1016/j.anihpc.2009.11.014. http://www.numdam.org/item/AIHPC_2010__27_3_809_0/

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