确定性和随机性的Becker-Döring方程：过去和最近的数学发展
Deterministic and Stochastic Becker-Döring equations: Past and Recent Mathematical Developments
摘要：
我们提出了一个调查的结果，一个特定的凝聚-破碎模型给出的贝克尔-Döring方程。对于确定性和随机版本，我们包括适定性，长时间的行为，收敛速度向平衡，粗化和输运方程，时间依赖性，亚稳性和经典成核理论的关系。在整个调查过程中，我们强调了最近的结果和开放的问题。
英文摘要：
We present a survey on the results on a particular coagulation-fragmentation model given by the Becker-Döring 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
