Mathematics – Analysis of PDEs
Scientific paper
2012-03-13
Communications on Pure and Applied Mathematics, 64 (2011), no. 9, 1297-1304
Mathematics
Analysis of PDEs
Scientific paper
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 $\mu$.
Lei Zhen
Lin Fang-hua
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