Existence of global weak solutions to the discrete
coagulation-fragmentation equations with diffusion is proved under
general assumptions on the coagulation and fragmentation
coefficients. Unlike previous works requiring $L^\infty$-estimates,
an $L^1$-approach is developed here which relies on weak and strong
compactness methods in $L^1$.
Publié le : 2002-03-14
Classification:
Cluster growth,
coalescence,
breakage,
infinite system of reaction-diffusion equations,
existence,
weak compactness,
35K50,
35K57,
82D60
@article{1051544325,
author = {Lauren\c cot, Philippe and Mischler, St\'ephane},
title = {Global existence for the discrete diffusive coagulation-fragmentation equations
in $L^1$},
journal = {Rev. Mat. Iberoamericana},
volume = {18},
number = {1},
year = {2002},
pages = { 731-745},
language = {en},
url = {http://dml.mathdoc.fr/item/1051544325}
}
Laurençot, Philippe; Mischler, Stéphane. Global existence for the discrete diffusive coagulation-fragmentation equations
in $L^1$. Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, pp. 731-745. http://gdmltest.u-ga.fr/item/1051544325/