Short time regularity of Navier-Stokes flows with locally $L^3$ initial data and applications
Analysis of PDEs
2018-12-31 v1
Abstract
We prove short time regularity of suitable weak solutions of 3D incompressible Navier-Stokes equations near a point where the initial data is locally in . The result is applied to the regularity problems of solutions with uniformly small local norms, and of forward discretely self-similar solutions.
Keywords
Cite
@article{arxiv.1812.10509,
title = {Short time regularity of Navier-Stokes flows with locally $L^3$ initial data and applications},
author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai},
journal= {arXiv preprint arXiv:1812.10509},
year = {2018}
}