## Differential and Integral Equations

### Note on decay of solutions of steady Navier-Stokes equations in $3$-D exterior domains

#### Abstract

We consider the three-dimensional exterior problem for steady Navier-Stokes equations. We prove, under an assumption on the smallness of external data, existence (and uniqueness) of solutions with the same spatial decay at infinity as that of the fundamental solution of the Stokes operator. In this sense the presented result is optimal and naturally completes classical results of Finn [11].

#### Article information

Source
Differential Integral Equations, Volume 8, Number 7 (1995), 1833-1842.

Dates
First available in Project Euclid: 12 May 2013

Novotný, A.; Padula, M. Note on decay of solutions of steady Navier-Stokes equations in $3$-D exterior domains. Differential Integral Equations 8 (1995), no. 7, 1833--1842. https://projecteuclid.org/euclid.die/1368397761