Conservative stochastic PDEs on the whole space
Probability
2024-10-02 v1 Analysis of PDEs
Abstract
The purpose of this paper is to establish a well-posedness theory for conservative stochastic partial differential equations on the whole space. This class of stochastic PDEs arises in fluctuating hydrodynamics, and includes the Dean--Kawasaki equation with correlated noise. In combination with the analysis of the authors and Heydecker [35], the connection between fluctuating hydrodynamics and macroscopic fluctuation theory in the context of the zero range particle process is made rigorous.
Keywords
Cite
@article{arxiv.2410.00254,
title = {Conservative stochastic PDEs on the whole space},
author = {Benjamin Fehrman and Benjamin Gess},
journal= {arXiv preprint arXiv:2410.00254},
year = {2024}
}