Équation anisotrope de Navier-Stokes dans des espaces critiques
Paicu, Marius
Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, p. 179-235 / Harvested from Project Euclid
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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.
Publié le : 2005-03-15
Classification:  Navier-Stokes equation,  critical spaces,  anisotropic viscosity,  35Q30,  76D03,  76D05 
@article{1114176232,
     author = {Paicu, Marius},
     title = {\'Equation anisotrope de Navier-Stokes dans des espaces critiques},
     journal = {Rev. Mat. Iberoamericana},
     volume = {21},
     number = {2},
     year = {2005},
     pages = { 179-235},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1114176232}
}

Paicu, Marius. Équation anisotrope de Navier-Stokes dans des espaces critiques. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp.  179-235. http://gdmltest.u-ga.fr/item/1114176232/