Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 7 (1995), 1833-1842.
Note on decay of solutions of steady Navier-Stokes equations in $3$-D exterior domains
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 .
Differential Integral Equations, Volume 8, Number 7 (1995), 1833-1842.
First available in Project Euclid: 12 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10]
Secondary: 76D05: Navier-Stokes equations [See also 35Q30]
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