Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-24T22:41:18.938Z Has data issue: false hasContentIssue false
  • English
  • Français

The initial value problem for the non-homogeneous Navier—Stokes equations with general slip boundary condition

Published online by Cambridge University Press:  11 July 2007

S. Itoh  and
A. Tani
S. Itoh
Affiliation:
Department of Mathematics, Hirosaki University, Hirosaki 036, Japan
A. Tani
Affiliation:
Department of Mathematics, Keio University, Yokohama 223, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The initial-boundary value problem for the non-homogeneous Navier-Stokes equations including the slipping on the solid boundary is considered. The unique solvability is established locally in time for the three-dimensional problem and globally in time for the two-dimensional problem without so-called smallness restrictions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 4 , August 2000 , pp. 827 - 835
Copyright
Copyright © Royal Society of Edinburgh 2001

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.)