Global Solution for the incompressible Navier-Stokes equations] { Global Solution for the incompressible Navier-Stokes equations with a class of large data in $BMO^{-1}(\mathbb{R}^3)$

Published 7 Nov 2017 in math.AP | (1711.02286v1)

Abstract: In this paper, we shall establish the global well-posedness, the space-time analyticity of the Navier-Stokes equations for a class of large periodic data $u_0 \in BMO^{{-1}(\mathbb{R}^3)$.} This improves the classical result of Koch & Tataru \cite{koch-tataru}, for the global well-posedness with small initial data $u_0 \in BMO^{{-1}(\mathbb{R}^n)$.}