Uniqueness of post-gelation solutions of a class of coagulation equations
Normand, Raoul ; Zambotti, Lorenzo
Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011), p. 189-215 / Harvested from Numdam
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We prove well-posedness of global solutions for a class of coagulation equations which exhibit the gelation phase transition. To this end, we solve an associated partial differential equation involving the generating functions before and after the phase transition. Applications include the classical Smoluchowski and Flory equations with multiplicative coagulation rate and the recently introduced symmetric model with limited aggregations. For the latter, we compute the limiting concentrations and we relate them to random graph models.

Publié le : 2011-01-01
DOI : https://doi.org/10.1016/j.anihpc.2010.10.005
Classification:  34A34,  82D60 
@article{AIHPC_2011__28_2_189_0,
     author = {Normand, Raoul and Zambotti, Lorenzo},
     title = {Uniqueness of post-gelation solutions of a class of coagulation equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {28},
     year = {2011},
     pages = {189-215},
     doi = {10.1016/j.anihpc.2010.10.005},
     mrnumber = {2784069},
     zbl = {1213.82116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2011__28_2_189_0}
}

Normand, Raoul; Zambotti, Lorenzo. Uniqueness of post-gelation solutions of a class of coagulation equations. Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011) pp. 189-215. doi : 10.1016/j.anihpc.2010.10.005. http://gdmltest.u-ga.fr/item/AIHPC_2011__28_2_189_0/

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