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arXiv · 1203.2699

Global Mild Solutions of the Navier-Stokes Equations

Zhen Lei·Fang-hua Lin
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Abstract

Here we establish a global well-posedness of \textit{mild} solutions to the three-dimensional incompressible Navier-Stokes equations if the initial data are in the space $\mathcal{X}^{-1}$ defined by $(1.3)$ and if the norms of the initial data in $\mathcal{X}^{-1}$ are bounded exactly by the viscosity coefficient $μ$.

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Zhen Lei, Fang-hua Lin. 2012-03-16. Global Mild Solutions of the Navier-Stokes Equations. https://arxiv.org/abs/1203.2699

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