On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models
Analysis of PDEs
2025-02-25 v2
Abstract
The goal of this note is to demonstrate that as soon as the hyper-diffusion exponent is greater than one, a class of finite time blow-up scenarios consistent with the analytic structure of the flow (prior to the possible blow-up time) can be ruled out. The argument is self-contained, in spirit of the regularity theory of the hyper-dissipative Navier-Stokes system in turbulent regime developed by Grujic and Xu.
Keywords
Cite
@article{arxiv.2312.14320,
title = {On persistence of spatial analyticity in the hyper-dissipative Navier-Stokes models},
author = {Aseel Farhat and Zoran Grujic},
journal= {arXiv preprint arXiv:2312.14320},
year = {2025}
}
Comments
final version, to appear in IUMJ