On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction
Probability
2022-08-30 v2
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.
Keywords
Cite
@article{arxiv.2203.05923,
title = {On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction},
author = {Sandra Cerrai and Mengzi Xie},
journal= {arXiv preprint arXiv:2203.05923},
year = {2022}
}