Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Self-similar solutions in weak \(L^ p\)-spaces of the Navier-Stokes equations
zbMATH Open document ID: 0860.35092
DOI: 10.4171/RMI/202
author: O. Barraza
published in: Revista Matemática Iberoamericana
publication date: 1997-04-21T00:00:00Z
full work available at URL: https://eudml.org/doc/39504
review text: Summary: The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in \(\mathbb{R}^n\) when the initial velocity belongs to the space weak \(L^n (\mathbb{R}^n)\) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, a homogeneous function of degree \(-1\). Partial uniqueness is also discussed.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 933289
zbMATH Keywords: existence
zbMATH Keywords: global solutions
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: self-similar solutions
zbMATH Keywords: initial velocity
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
OpenAlex ID: W1968719404
description: scientific article; zbMATH DE number 933289