The resolution of the Navier-Stokes equations in anisotropic spaces
Dragoș Iftimie
Université de Rennes I, France

Abstract
In this paper we prove global existence and uniqueness for solutions of the dimensional Navier-Stokes equations with small initial data in spaces which are in the i-th direction, and in a space which is L^2 in the first two directions and B^{1/2}_{2,1} in the third direction where and denote the usual homogeneous Sobolev and Besov spaces.
Cite this article
Dragoș Iftimie, The resolution of the Navier-Stokes equations in anisotropic spaces. Rev. Mat. Iberoam. 15 (1999), no. 1, pp. 1–36
DOI 10.4171/RMI/248