Hostname: page-component-54dcc4c588-42vt5 Total loading time: 0 Render date: 2025-09-15T19:03:43.322Z Has data issue: false hasContentIssue false
  • English
  • Français

Temporal and spatial decays for the Navier–Stokes equations

Published online by Cambridge University Press:  12 July 2007

Hyeong-Ohk Bae  and
Bum Ja Jin
Hyeong-Ohk Bae
Affiliation:
Department of Mathematics, Ajou University, San 5, Woncheon-dong, Yeongtong-gu, 443-749 Suwon, Republic of Korea (hobae@ajou.ac.kr)
Bum Ja Jin
Affiliation:
Busan Science Academy, Busanjin-Gu, Busan-si, Republic of Korea (bumjajin@hanmail.net)
Get access Rights & Permissions [Opens in a new window]

Abstract

We obtain spatial and temporal decay rates of weak solutions of the Navier–Stokes equations, and for strong solutions. For the spatial decay rate of the weak solutions, the power of the weight given by He and Xin in 2001 does not exceed 3/2;. However, we show the power can be extended up to 5/2;.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 3 , June 2005 , pp. 461 - 478
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable