Weighted estimates for nonstationary Navier-Stokes equations in exterior domains
type: Item
instance of: scholarly article
title: Weighted estimates for nonstationary Navier-Stokes equations in exterior domains
zbMATH Open document ID: 1007.76012
author: Cheng He
author: Zhouping Xin
published in: Methods and Applications of Analysis
publication date: 2002-06-19T00:00:00Z
review text: For nonstationary incompressible Navier-Stokes equations in a three-dimensional exterior domain, the authors derive new a priori estimates in some weighted spaces. Basing on these estimates, the authors establish existence and uniqueness of strong solutions in the weighted spaces, as well as prove some decay properties. The technique employed relies upon the representation of pressure in terms of fundamental solution to Laplace equation, using the singular integral theory. The estimates then follow from estimates for approximate solutions of a linearized problem.
reviewed by: Etienne Emmrich
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1757311
zbMATH Keywords: decay estimate
zbMATH Keywords: nonstationary incompressible Navier-Stokes equations
zbMATH Keywords: three-dimensional exterior domain
zbMATH Keywords: a priori estimates
zbMATH Keywords: weighted spaces
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: strong solutions
zbMATH Keywords: representation
zbMATH Keywords: fundamental solution
zbMATH Keywords: Laplace equation
zbMATH Keywords: singular integral theory
zbMATH Keywords: linearized problem
MaRDI profile type: Publication
DOI: 10.4310/MAA.2000.V7.N3.A1
description: scientific article; zbMATH DE number 1757311