Ergodicity for SPDEs driven by divergence-free transport noise
Probability
2026-01-30 v1 Analysis of PDEs
Dynamical Systems
Abstract
We study the ergodic behaviour of the McKean-Vlasov equations driven by common, divergence-free transport noise. In particular, we show that in dimension , if the noise is mixing and sufficiently strong it can enforce the uniqueness of invariant probability measures, even if the deterministic part of equation has multiple steady states.
Cite
@article{arxiv.2601.22056,
title = {Ergodicity for SPDEs driven by divergence-free transport noise},
author = {Benjamin Gess and Rishabh S. Gvalani and Adrian Martini},
journal= {arXiv preprint arXiv:2601.22056},
year = {2026}
}