The University of Southampton
University of Southampton Institutional Repository

Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in R2

Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in R2
Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in R2
In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier–Stokes equations in the whole space, some optimal upper and lower bounds for the decay of higher order derivatives of the solutions are derived through a simple approach without assuming any decay properties of the solutions. This method is mainly based on some auxiliary decay estimates of the solutions and a generalized Gronwall type argument.
553-558
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Dong, Bo-Qing
3d40f1e0-4de1-491e-9306-1056e1436ec3
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f

Dong, Bo-Qing and Chen, Zhi-Min (2006) Remarks on upper and lower bounds of solutions to the Navier–Stokes equations in R2. Applied Mathematics and Computation, 182 (1), 553-558. (doi:10.1016/j.amc.2006.04.017).

Record type: Article

Abstract

In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier–Stokes equations in the whole space, some optimal upper and lower bounds for the decay of higher order derivatives of the solutions are derived through a simple approach without assuming any decay properties of the solutions. This method is mainly based on some auxiliary decay estimates of the solutions and a generalized Gronwall type argument.

This record has no associated files available for download.

More information

Published date: 2006
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 43337
URI: http://eprints.soton.ac.uk/id/eprint/43337
PURE UUID: 54141313-4a7a-4afe-87ab-c662076e5254

Catalogue record

Date deposited: 23 Jan 2007
Last modified: 08 Jan 2022 03:55

Export record

Altmetrics

Contributors

Author: Bo-Qing Dong
Author: Zhi-Min Chen

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×