A generalization of a theorem by Kato on Navier-Stokes equations
type: Item
instance of: scholarly article
title: A generalization of a theorem by Kato on Navier-Stokes equations
zbMATH Open document ID: 0897.35061
DOI: 10.4171/RMI/229
author: Marco Cannone
published in: Revista Matemática Iberoamericana
publication date: 1998-04-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39533
review text: The aim of this paper is to prove that Kato's result, on existence of global solutions to the Navier-Stokes system in \(C([0,\infty); L^3(\mathbb{R}^3))\), holds true under a much weaker condition on the initial data. Furthermore, using the previous result, the author obtains an existence theorem of self-similar solutions for the Navier-Stokes equations.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 1136591
zbMATH Keywords: Navier-Stokes equation
zbMATH Keywords: self-similar solution
reviewed by: Valeriu Al. Sava
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1136591