Global smooth solutions to Navier-Stokes equations with large initial data in critical space
Year: 2025
Type: preprint
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 $\dot{B}^{-1}_{\infty,\infty}$, while still satisfying the nonlinear smallness condition.
Source: arXiv (Cornell University)
Authors: Li, Haina, Xu, Yiran
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979242932
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