Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body
type: Item
instance of: scholarly article
title: Asymptotics of solutions to the Navier-Stokes equations in the exterior of a bounded body
zbMATH Open document ID: 0961.35103
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: The authors consider an exterior Dirichlet problem for the steady Navier-Stokes equations \[ -\nu \nabla v + (v \cdot \Delta) v + \Delta p = f ,\quad \Delta \cdot v = 0 \] in \(\mathbb R \backslash \omega \cup \partial \omega \), where \( \omega \) is a bounded set. An asymptotic formula is derived for \(v\) and \(P\) under the condition that its boundary data are small.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1557767
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: weighted space
zbMATH Keywords: detached asymptotics
author: Sergei A. Nazarov
author: K. Pileckas
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557767