On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation
Analysis of PDEs
2007-05-23 v1
Abstract
By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel and an idea of fractional bootstrap, we show in this note that solutions to the Navier-Stokes equations with fractional dissipation are analytic in space variables.
Keywords
Cite
@article{arxiv.math/0703864,
title = {On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation},
author = {Hongjie Dong and Dong Li},
journal= {arXiv preprint arXiv:math/0703864},
year = {2007}
}