On the Regularity and Decay of the Weak Solutions to the Steady-State Navier-Stokes Equations in Exterior Domains

Frédéric Alliot and Cherif Amrouche

A chapter in Applied Nonlinear Analysis, 2002, pp 1-18 from Springer

Abstract: Abstract In this article, we study the regularity properties of the weak solutions to the steady-state Navier-Stokes equations in exterior domains of ℝ3. Our approach is based on a combination of the properties of Stokes problems in ℝ3 and in bounded domains. We obtain in particular a decomposition result for the pressure and some sufficient conditions for the velocity to vanish at infinity.

Keywords: Exterior flows; Navier-Stokes; weak solutions; regularity; behaviour at infinity (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_1

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DOI: 10.1007/0-306-47096-9_1

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