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March, 2005 Équation anisotrope de Navier-Stokes dans des espaces critiques
Marius Paicu
Rev. Mat. Iberoamericana 21(1): 179-235 (March, 2005).


We study the tridimensional Navier-Stokes equation when the value of the vertical viscosity is zero, in a critical space (invariant by the scaling). We shall prove local in time existence of the solution, respectively global in time when the initial data is small compared with the horizontal viscosity.


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Marius Paicu. "Équation anisotrope de Navier-Stokes dans des espaces critiques." Rev. Mat. Iberoamericana 21 (1) 179 - 235, March, 2005.


Published: March, 2005
First available in Project Euclid: 22 April 2005

zbMATH: 1110.35060
MathSciNet: MR2155019

Primary: 35Q30 , 76D03 , 76D05

Keywords: anisotropic viscosity , critical spaces , Navier-Stokes equation

Rights: Copyright © 2005 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.21 • No. 1 • March, 2005
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