6 citations · 8 across the 2 of their papers we have counts for
4 papers
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…