Global smooth solutions to Navier-Stokes equations with large initial data in critical space
Analysis of PDEs
2025-03-03 v2
Abstract
In this paper, we investigate the existence of a unique global smooth solution to the three-dimensional incompressible Navier-Stokes equations and provide a concise proof. We establish a new global well-posedness result that allows the initial data to be arbitrarily large within the critical space , while still satisfying the nonlinear smallness condition.
Cite
@article{arxiv.2502.20059,
title = {Global smooth solutions to Navier-Stokes equations with large initial data in critical space},
author = {Haina Li and Yiran Xu},
journal= {arXiv preprint arXiv:2502.20059},
year = {2025}
}