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arXiv · 2203.05923

On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction

Sandra Cerrai·Mengzi Xie
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Abstract

We study the validity of a large deviation principle for a class of stochastic nonlinear damped wave equations, of Klein-Gordon type, in the joint small mass and small noise limit. The friction term is assumed to be state dependent.

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Sandra Cerrai, Mengzi Xie. 2022-03-11. On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction. https://arxiv.org/abs/2203.05923

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