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Global Wellposed Problem for the 3-D Incompressible Anisotropic Navier-Stokes Equations in an Anisotropic Space

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An Erratum to this article was published on 05 February 2010

Abstract

In this paper, we consider a global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations (ANS). We prove the global wellposedness for ANS provided the initial horizontal data are sufficient small in the scaling invariant Besov-Sobolev type space \({B^{0,\frac{1}{2}}}\) . In particular, the result implies the global wellposedness of ANS with large initial vertical velocity.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Ting Zhang

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  1. Ting Zhang
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Correspondence to Ting Zhang.

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Communicated by P. Constantin

An erratum to this article can be found at http://dx.doi.org/10.1007/s00220-010-1004-0

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Zhang, T. Global Wellposed Problem for the 3-D Incompressible Anisotropic Navier-Stokes Equations in an Anisotropic Space. Commun. Math. Phys. 287, 211–224 (2009). https://doi.org/10.1007/s00220-008-0631-1

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