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Volume 13, Issue 1
Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces

Zhimin Chen , Yongzhi Zhao & Yujun Yang

J. Part. Diff. Eq., 13 (2000), pp. 89-96.

Published online: 2000-02

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  • 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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COPYRIGHT: © Global Science Press

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@Article{JPDE-13-89, author = {Zhimin Chen , Yongzhi Zhao and Yujun Yang }, title = {Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {89--96}, 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)}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5498.html} }
TY - JOUR T1 - Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces AU - Zhimin Chen , Yongzhi Zhao & Yujun Yang JO - Journal of Partial Differential Equations VL - 1 SP - 89 EP - 96 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5498.html KW - :Navier-Stokes equations KW - local solutions: Hölder Zygmund spaces AB - 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)
Zhimin Chen , Yongzhi Zhao and Yujun Yang . (2000). Holder Zygmund Space Techniques to the Navier-Stokes Equations in the Whole Spaces. Journal of Partial Differential Equations. 13 (1). 89-96. doi:
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