6 citations · 8 across the 14 of their papers we have counts for
16 papers
A unified approach to the divergence equation and related functional inequalities
Filippo Gazzola, Hans-Christoph Grunau, Gianmarco Sperone
The huge amount of literature about the divergence equation in bounded Lipschitz domains of () is fairly disconnected and even apparently simple problems remain unsol…
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, Amina Mecherbet, Gianmarco Sperone
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…
On the steady motion of a Navier-Stokes flow across a sieve with prescribed pressure drop in a finite pipe
Gianmarco Sperone
The steady motion of a viscous incompressible fluid through a sieve (that is, a wall perforated with a large number of small holes), in a pipe of finite length, is modeled through…
Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel
Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1
We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…
On the planar Taylor-Couette system and related exterior problems
Filippo Gazzola, Jiří Neustupa, Gianmarco Sperone
We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the…
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…
Unrestricted deformations of thin elastic structures interacting with fluids
Malte Kampschulte, Sebastian Schwarzacher, Gianmarco Sperone
In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in…
A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle
Filippo Gazzola, Gianmarco Sperone, Tobias Weth
Fluid flows around a symmetric obstacle generate vortices which may lead to symmetry breaking of the streamlines. We study this phenomenon for planar viscous flows governed by the…
On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions
Gianmarco Sperone
We analyze the steady motion of a viscous incompressible fluid in a three-dimensional channel containing an obstacle through the Navier-Stokes equations with mixed boundary conditi…
Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations
Ilaria Fragalà, Filippo Gazzola, Gianmarco Sperone
We introduce a new method for constructing solenoidal extensions of fairly general boundary data in (2d or 3d) cubes that contain an obstacle. This method allows us to provide expl…
Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges
Filippo Gazzola, Gianmarco Sperone
The Melan equation for suspension bridges is derived by assuming small displacements of the deck and inextensible hangers. We determine the thresholds for the validity of the Melan…
Further remarks on the Luo-Hou's ansatz for a self-similar solution to the 3D Euler equations
Gianmarco Sperone
It is shown that the self-similar ansatz proposed by T. Hou and G. Luo to describe a singular solution of the 3D axisymmetric Euler equations leads, without assuming any asymptotic…