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arXiv · 1609.00697

Deterministic and Stochastic Becker-D\"oring equations: Past and Recent Mathematical Developments

Erwan Hingant·Romain Yvinec
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Abstract

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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Erwan Hingant, Romain Yvinec. 2016-09-02. Deterministic and Stochastic Becker-D\"oring equations: Past and Recent Mathematical Developments. https://arxiv.org/abs/1609.00697

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