The decay rates of strong solutions for Navier-Stokes equations
type: Item
instance of: scholarly article
title: The decay rates of strong solutions for Navier-Stokes equations
zbMATH Open document ID: 1027.35093
author: Cheng He
author: Ling Hsiao
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-07-04T00:00:00Z
review text: This paper deals with the existence and decay rate of global strong solutions in \(L^q\) for the Navier Stokes equations in \(\mathbb{R}^3\). The authors first construct approximate solutions through linearizing the Navier-Stokes equations. To this end they use directly the fundamental solution of heat equations in \(\mathbb{R}^3\) to obtain decay estimates of arbitrary order derivatives. Note that the estimate for the decay rate is optimal in the sense that it coincides with the decay rate of a solution to the heat equation.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1763466
zbMATH Keywords: \(L^q\) strong solution
zbMATH Keywords: fundamental solution
zbMATH Keywords: existence
zbMATH Keywords: decay rate
zbMATH Keywords: global strong solutions
zbMATH Keywords: Navier Stokes equations
zbMATH Keywords: heat equations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7147
OpenAlex ID: W1992313622
cites work: Q3736200
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DOI: 10.1006/JMAA.2000.7147
description: scientific article; zbMATH DE number 1763466