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Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces
Authors:Zhimin Chen  Yongzhi Zhao &  Yujun Yang
Abstract:With the use of Hölder Zygmund space techniques, local regular solutions to the Navier-Stokes equations in R^n are shown to exist when the initial data are in the space {a|(-Δ)^{-β/2}a ∈ C^0(R^n)^n}\quad(0 < β < 1)
Keywords::Navier-Stokes equations                                                                                                local solutions: Hölder Zygmund spaces
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