Regularity for Suitable Weak Solutions to the Navier-Stokes Equations in Critical Morrey Spaces
Analysis of PDEs
2007-05-23 v2
Abstract
A class of sufficient conditions of local regularity for suitable weak solutions to the nonstationary three-dimensional Navier-Stokes equations are discussed. The corresponding results are formulated in terms of functionals which are invariant with respect to the Navier-Stokes equations scaling. The famous Caffarelli-Kohn-Nirenberg condition is contained in that class as a particular case.
Cite
@article{arxiv.math/0607537,
title = {Regularity for Suitable Weak Solutions to the Navier-Stokes Equations in Critical Morrey Spaces},
author = {G Seregin},
journal= {arXiv preprint arXiv:math/0607537},
year = {2007}
}
Comments
27 pages