Minimal $L^3$-initial data for potential Navier-Stokes singularities
Analysis of PDEs
2012-11-12 v2
Abstract
We give a simple proof of the existence of initial data with minimal norm for potential Navier-Stokes singularities, recently established in (arXiv:1012.0145v2) with techniques based on profile decomposition. Our method is based on suitable splittings and energy methods.
Cite
@article{arxiv.1201.1592,
title = {Minimal $L^3$-initial data for potential Navier-Stokes singularities},
author = {Hao Jia and Vladimír Šverák},
journal= {arXiv preprint arXiv:1201.1592},
year = {2012}
}
Comments
16 pages, submitted;small typos corrected;remark below lemma 2.2 fixed