Global nonstationary Navier-Stokes motion with large flux
type: Item
instance of: scholarly article
zbMATH Open document ID: 1307.35200
DOI: 10.1137/120880823
author: Joanna Rencławowicz
author: Wojciech M. Zajączkowski
published in: SIAM Journal on Mathematical Analysis
publication date: 2014-11-04T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6365810
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: slip boundary conditions
zbMATH Keywords: large flux
zbMATH Keywords: global regular solutions
zbMATH Keywords: inflow-outflow problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1137/120880823
OpenAlex ID: W2070452148
title: Global nonstationary Navier-Stokes motion with large flux
review text: The authors study the Navier-Stokes system with the slip boundary conditions, which models the motion of viscous incompressible fluid in a finite cylindrical pipe with inflow and outflow. Under the assumption of some balance estimates posed on the external force and the derivatives of the inflow function, the authors show the existence of global in time solutions to the nonstationary inflow-outflow problem in a cylindrical pipe as some parameters are sufficiently small. Notice that there is any no restriction on the flux on inflow.
reviewed by: Cheng He
description: scientific article; zbMATH DE number 6365810