Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space (Q842441)
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scientific article; zbMATH DE number 5368312
- Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations
| Language | Label | Description | Also known as |
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| English | Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space |
scientific article; zbMATH DE number 5368312 |
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Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space (English)
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Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations (English)
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25 September 2009
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18 November 2008
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anisotropic Navier-Stokes equations
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global wellposedness
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Littlewood=Patey theory
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Cauchy problem
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The authors consider the Cauchy problem for the anisotropic Navier-Stokes system in three dimensions. They prove that the problem is globally well posed in time, provided that the initial data is small, in a suitable sense, with respect to the horizontal viscosity. This result generalizes a previous result by J. Y. Chemin and I. Gallagher concerning the isotropic Navier-Stokes system to the anisotropic case.
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0.9650022983551024
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0.9585758447647096
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0.9383696913719176
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