On the non-stationary Navier-Stokes equations with an external force

Abstract

We present two different existence and uniqueness algorithms for constructing global mild solutions in $\mathcal {C}([0,T); L^3(\mathbb{R}^3))$ to the Cauchy problem for the Navier-Stokes equations with an external force.

Article information

Source
Adv. Differential Equations, Volume 4, Number 5 (1999), 697-730.

Dates
First available in Project Euclid: 15 April 2013