An addendum to the paper: "Some elementary estimates for the Navier-Stokes system"

Details An addendum to the paper: "Some elementary estimates for the Navier-Stokes system" An addendum to the paper: "Some elementary estimates for the Navier-Stokes system"

2009-09-09

arxiv.org/abs/0909.1699v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

In this paper we give a proof of the existence of global regular solutions to the Fourier transformed Navier-Stokes system with small initial data in $\Phi(2)$ via an iteration argument. The proof of the regularity theorem is a minor modification of the proof given in the paper "Some elementary estimates for the Navier-Stokes system". So this paper is intended to be just a complement to the afore mentioned paper.

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