An inequality for solutions of the Navier-Stokes equations in Rn
Analysis of PDEs
2017-07-04 v1
Abstract
We obtain a new inequality that holds for general Leray solutions of the incompressible Navier-Stokes equations in Rn (n <= 4). This recovers important results previously obtained by other authors regarding the time decay of solution derivatives (of arbitrary order).
Cite
@article{arxiv.1707.00094,
title = {An inequality for solutions of the Navier-Stokes equations in Rn},
author = {Thomas Hagstrom and Jens Lorenz and Janaína P. Zingano and Paulo R. Zingano},
journal= {arXiv preprint arXiv:1707.00094},
year = {2017}
}
Comments
This inequality was discovered by the authors in March 2016. A number of important results previously obtained by other authors regarding the large time decay of solution derivatives can now be seen as simple consequences of it (in the case n <= 4)