\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
type: Item
instance of: scholarly article
title: \(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
zbMATH Open document ID: 0678.35076
DOI: 10.1007/BF00279962
author: H. Beirão da Veiga
author: Paolo Secchi
published in: Archive for Rational Mechanics and Analysis
publication date: 1987-01-01T00:00:00Z
review text: A stability analysis for the initial value problem for the non-stationary Navier-Stokes equations in the whole space \({\mathbb{R}}^ 3\) is presented. It consists of conditions on perturbed initial data such that there exists a uniquely determined global solution which satisfies an estimate with input to the unperturbed solution. This estimate provides not only the stability properties but also the decaying behavior.
reviewed by: Hansgeorg Jeggle
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 4111209
zbMATH Keywords: \(L^ p\)-stability
zbMATH Keywords: strong solutions
zbMATH Keywords: initial value problem
zbMATH Keywords: non- stationary Navier-Stokes equations
zbMATH Keywords: global solution
MaRDI profile type: Publication
cites work: On the suitable weak solutions to the Navier-Stokes equations in the whole space
cites work: The initial value problem for the Navier-Stokes equations with data in L\(^p\)
cites work: On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
cites work: \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
cites work: Q5723392
full work available at URL: https://doi.org/10.1007/bf00279962
OpenAlex ID: W2055342036
description: scientific article; zbMATH DE number 4111209