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

2009/09/09 by Jean Cortissoz, Cortissoz, Jean
Mathematics · #35Q30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q30

paper · pdf · doi:10.48550/arxiv.0909.1699

10 pages

arxiv created 2009/09/09 · arxiv updated 2009/12/01

Abstract

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 Φ(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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