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Chapitre D'ouvrage Année : 2016

Deterministic and stochastic Becker-Döring equations: Past and recent mathematical developments

Résumé

We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-D\"oring equations. For both the deterministic and stochastic versions, we include well-posedness, long-time behavior, convergence rate towards equilibrium, coarsening and relation to transport equations, time-dependent properties, metastability and classical nucleation theory. All along this survey, we highlight recent results and open questions.
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Dates et versions

hal-01512134 , version 1 (21-04-2017)
hal-01512134 , version 2 (14-01-2021)

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Citer

Erwan Hingant, Romain Yvinec. Deterministic and stochastic Becker-Döring equations: Past and recent mathematical developments. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, Editions Springer; Editions Springer, pp.175-204, 2016, ⟨10.1007/978-3-319-62627-7⟩. ⟨hal-01512134v1⟩
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