The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in when the initial velocity belongs to the space weak with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed.
Cite this article
Oscar A. Barraza, Self-similar solutions in weak -spaces of the Navier-Stokes equations. Rev. Mat. Iberoam. 12 (1996), no. 2, pp. 411–439DOI 10.4171/RMI/202