Anisotropic Navier-Stokes equation in critical spaces.

Marius Paicu

Revista Matemática Iberoamericana (2005)

  • Volume: 21, Issue: 1, page 179-235
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Paicu, Marius. "Équation anisotrope de Navier-Stokes dans des espaces critiques.." Revista Matemática Iberoamericana 21.1 (2005): 179-235. <http://eudml.org/doc/39746>.

@article{Paicu2005,
author = {Paicu, Marius},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones de Navier-Stokes; Fluidos incompresibles; Viscosidad; Navier-Stokes equations; anisotropic viscosity; anisotropic Besov-Sobolev space; Littlewood-Paley theory},
language = {fre},
number = {1},
pages = {179-235},
title = {Équation anisotrope de Navier-Stokes dans des espaces critiques.},
url = {http://eudml.org/doc/39746},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Paicu, Marius
TI - Équation anisotrope de Navier-Stokes dans des espaces critiques.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 1
SP - 179
EP - 235
LA - fre
KW - Ecuaciones de Navier-Stokes; Fluidos incompresibles; Viscosidad; Navier-Stokes equations; anisotropic viscosity; anisotropic Besov-Sobolev space; Littlewood-Paley theory
UR - http://eudml.org/doc/39746
ER -

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