A central limit theorem for nonlinear conservative SPDEs
Probability
2023-11-01 v1 Analysis of PDEs
Abstract
We prove a central limit theorem characterizing the small noise fluctuations of stochastic PDEs of fluctuating hydrodynamics type. The results apply to the case of nonlinear and potentially degenerate diffusions and irregular noise coefficients including the square root. In several cases, the fluctuations of the solutions agree to first order with the fluctuations of certain interacting particle systems about their hydrodynamic limits.
Cite
@article{arxiv.2310.19924,
title = {A central limit theorem for nonlinear conservative SPDEs},
author = {Andrea Clini and Benjamin Fehrman},
journal= {arXiv preprint arXiv:2310.19924},
year = {2023}
}