Coagulation dynamics under environmental noise: scaling limit to SPDE

Franco Flandoli; Ruojun Huang

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arXiv · 2111.10859

Coagulation dynamics under environmental noise: scaling limit to SPDE

Franco Flandoli·Ruojun Huang

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Abstract

We prove that a system of locally interacting diffusions carrying discrete masses, subject to an environmental noise and undergoing mass coagulation, converges to a system of Stochastic Partial Differential Equations (SPDEs) with Smoluchowski-type nonlinearity. Existence, uniqueness and regularity of the SPDEs are also proven.

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Franco Flandoli, Ruojun Huang. 2021-11-21. Coagulation dynamics under environmental noise: scaling limit to SPDE. https://arxiv.org/abs/2111.10859

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