Weighted estimates for the Oseen problem in \(\mathbb R^3\)
type: Item
instance of: scholarly article
title: Weighted estimates for the Oseen problem in \(\mathbb R^3\)
zbMATH Open document ID: 1125.35074
author: Chérif Amrouche
author: Ulrich Razafison
published in: Applied Mathematics Letters
publication date: 2006-01-24T00:00:00Z
review text: The authors consider the following Oseen approximation \[ -\Delta\vec u+{\partial\vec u\over\partial x_1}+ \nabla\pi= \vec f\quad\text{in }\mathbb R^3,\quad \text{div\,}\vec u= g,\quad\lim_{|x|\to\infty}\vec u(x)=\vec u_\infty, \] where a vector fields \(\vec f\) and \(\vec u_\infty\) and a function \(g\) are given. Using a framework of a weighted Sobolev spaces, the authors study asymptotics of some solutions.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5001472
zbMATH Keywords: Oseen equations
zbMATH Keywords: fluid mechanics
zbMATH Keywords: weights
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: unbounded domains
MaRDI profile type: Publication
full work available at URL: j.aml.2005.01.005
OpenAlex ID: W2055960621
cites work: Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
cites work: Weighted Sobolev spaces for the steady scalar Oseen equation in \(\mathbb R^n\)
cites work: The stationary Oseen equations in \({\mathbb{R}}^{3}\). An approach in weighted Sobolev spaces
cites work: ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
cites work: The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
cites work: Q4400859
cites work: On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
cites work: Q4292463
cites work: Estimates of Oseen kernels in weighted \(L^p\) spaces
DOI: 10.1016/J.AML.2005.01.005
description: scientific article; zbMATH DE number 5001472