Self-similar solutions in weak -spaces of the Navier-Stokes equations
Oscar A. Barraza
Université de Paris Dauphine, Paris, France
![Self-similar solutions in weak $L^p$-spaces of the Navier-Stokes equations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-12-issue-2.png&w=3840&q=90)
Abstract
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. 411–439
DOI 10.4171/RMI/202