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math.PR2024
The small-mass limit for some constrained wave equations with nonlinear conservative noise
Sandra Cerrai, Mengzi Xie
We study the small-mass limit, also known as the Smoluchowski-Kramers diffusion approximation (see \cite{kra} and \cite{smolu}), for a system of stochastic damped wave equations, w…
math.PR2024
SPDEs on narrow channels and graphs: convergence and large deviations in case of non smooth noise
Sandra Cerrai, Wen-Tai Hsu
We investigate a class of stochastic partial differential equations of reaction-diffusion type defined on graphs, which can be derived as the limit of SPDEs on narrow planar channe…