Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise
Analysis of PDEs
2025-08-26 v1 Probability
Abstract
We study the three-dimensional Navier-Stokes equations forced by space-time white noise and diffused via the fractional Laplacian with Lions' exponent so that it is precisely the energy-critical case. We prove its global solution theory following the approach of Hairer and Rosati (2024, Annals of PDE, \textbf{10}, pp. 1--46).
Keywords
Cite
@article{arxiv.2508.16906,
title = {Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise},
author = {Kazuo Yamazaki},
journal= {arXiv preprint arXiv:2508.16906},
year = {2025}
}