7 papers
On the evolutionary Navier-Stokes equations in distorted pipes under dynamic and energy-stable outflow boundary conditions
Alessio Falocchi, Ana Leonor Silvestre, Gianmarco Sperone
We consider the evolution of a viscous incompressible fluid in three-dimensional distorted pipes, of finite length, modeled through the Navier-Stokes equations with mixed boundary…
Brinkman's term for the steady-state Navier-Stokes equations with prescribed flux rate or pressure drop in perforated pipes
Richard M. Höfer, Richard M. Höfer, Amina Mecherbet +1
The steady motion of a viscous incompressible fluid in a distorted pipe, containing several small particles of diameter $\eps^3$ and mutual distance $\eps$, is modeled through the…
On the uniqueness and structural stability of Couette-Poiseuille flow in a channel for arbitrary values of the flux
Giovanni P. Galdi, Filippo Gazzola, Mikhail V. Korobkov +2
We establish uniqueness and structural stability of a class of parallel flows in a 2D straight, infinite channel, under perturbations with either globally or locally bounded Dirich…
On the stationary Navier-Stokes equations in distorted pipes under energy-stable outflow boundary conditions
Alessio Falocchi, Ana Leonor Silvestre, Gianmarco Sperone
The steady motion of a viscous incompressible fluid in distorted pipes, of finite length, is modeled through the Navier-Stokes equations with mixed boundary conditions: the inflow…
The steady Navier-Stokes equations in a system of unbounded channels with sources and sinks
Filippo Gazzola, Mikhail V. Korobkov, Xiao Ren +1
The steady motion of a viscous incompressible fluid in a junction of unbounded channels with sources and sinks is modeled through the Navier-Stokes equations under inhomogeneous Di…
Homogenization of Leray's flux problem for the steady-state Navier-Stokes equations in a multiply-connected planar domain
Clara Patriarca, Gianmarco Sperone
The steady motion of a viscous incompressible fluid in a multiply-connected, planar, bounded domain (perforated with a large number of small holes) is modeled through the Navier-St…