Global nonstationary Navier-Stokes motion with large flux
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.
scientific article; zbMATH DE number 6365810