Lⁿ solutions of the stationary and nonstationary Navier-Stokes equations in Rⁿ

Zhi Min Chen

Vol. 158 (1993), No. 2, 293–303

DOI: 10.2140/pjm.1993.158.293

Abstract

It is shown that the Navier-Stokes equations in the whole space Rⁿ (n ≥ 3) admit a unique small stationary solution which may be formed as a limit of a nonstationary solution as t →∞ in Lⁿ-norms.

Mathematical Subject Classification 2000

Primary: 35Q30

Secondary: 35B40, 76D05

Milestones

Received: 11 July 1991

Revised: 13 March 1992

Published: 1 April 1993