Global Navier-Stokes flows in intermediate spaces
Analysis of PDEs
2023-12-21 v2
Abstract
We construct global weak solutions of the three dimensional incompressible Navier-Stokes equations in intermediate spaces between the space of uniformly locally square integrable functions and Herz-type spaces which involve weighted integrals centered at the origin. Our results bridge the existence theorems of Lemari\'e-Rieusset and of Bradshaw, Kukavica and Tsai. An application to eventual regularity is included which generalizes the prior work of Bradshaw, Kukavica and Tsai as well as Bradshaw, Kukavica and Ozanski.
Cite
@article{arxiv.2310.15142,
title = {Global Navier-Stokes flows in intermediate spaces},
author = {Zachary Bradshaw and Misha Chernobai and Tai-Peng Tsai},
journal= {arXiv preprint arXiv:2310.15142},
year = {2023}
}
Comments
We moved Lemma 3.1 to Lemma 2.1, and added Lemma 2.11 and several references