English

Existence globale de solutions d'energie infinie de l'equation de Navier-Stokes 2D

Analysis of PDEs 2007-05-23 v1

Abstract

We study in this article the solutions of the Navier-Stokes equations, with initial data in the closure of the Schwartz class in BMO-1. For such intial data, we obtain the existence and uniqueness of a global solution, and an estimate on its norm in BMO-1.

Keywords

Cite

@article{arxiv.math/0412160,
  title  = {Existence globale de solutions d'energie infinie de l'equation de Navier-Stokes 2D},
  author = {Pierre Germain},
  journal= {arXiv preprint arXiv:math/0412160},
  year   = {2007}
}