The resolution of the Navier-Stokes equations in anisotropic spaces.

Iftimie, Dragos. "The resolution of the Navier-Stokes equations in anisotropic spaces.." Revista Matemática Iberoamericana 15.1 (1999): 1-36. <http://eudml.org/doc/39561>.

@article{Iftimie1999,
abstract = {In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are Hδi in the i-th direction, δ1 + δ2 + δ3 = 1/2, -1/2 &lt; δi &lt; 1/2 and in a space which is L2 in the first two directions and B2,11/2 in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.},
author = {Iftimie, Dragos},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones de Navier-Stokes; Resolución de ecuaciones; Espacios de funciones; Espacios de Sobolev; Navier-Stokes equations; anisotropic spaces; global existence and uniqueness for small initial data},
language = {eng},
number = {1},
pages = {1-36},
title = {The resolution of the Navier-Stokes equations in anisotropic spaces.},
url = {http://eudml.org/doc/39561},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Iftimie, Dragos
TI - The resolution of the Navier-Stokes equations in anisotropic spaces.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 1
SP - 1
EP - 36
AB - In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are Hδi in the i-th direction, δ1 + δ2 + δ3 = 1/2, -1/2 &lt; δi &lt; 1/2 and in a space which is L2 in the first two directions and B2,11/2 in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.
LA - eng
KW - Ecuaciones de Navier-Stokes; Resolución de ecuaciones; Espacios de funciones; Espacios de Sobolev; Navier-Stokes equations; anisotropic spaces; global existence and uniqueness for small initial data
UR - http://eudml.org/doc/39561
ER -