Frequency decay for Navier-Stokes stationary solutions
Analysis of PDEs
2017-12-18 v1
Abstract
We consider stationary Navier-Stokes equations in R 3 with a regular external force and we prove exponential frequency decay of the solutions. Moreover, if the external force is small enough, we give a pointwise exponential frequency decay for such solutions according to the K41 theory. If a damping term is added to the equation, a pointwise decay is obtained without the smallness condition over the force.
Cite
@article{arxiv.1712.05753,
title = {Frequency decay for Navier-Stokes stationary solutions},
author = {Diego Chamorro and Oscar Jarrin and Pierre Gilles Lemarié-Rieusset},
journal= {arXiv preprint arXiv:1712.05753},
year = {2017}
}