35 citations · 117 across the 27 of their papers we have counts for
34 papers
Finite-time blow-up for the forced 2D Navier-Stokes equations
Filippo Gazzola
We provide explicit examples showing that the existing assumptions in literature on the force are sharp for the stated properties of strong solutions to the 2D Navier-Stokes equati…
Asymmetric equilibrium configurations of a body immersed in a 2D laminar flow
Edoardo Bocchi, Filippo Gazzola
We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stati…
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…
Long-time dynamics of a hinged-free plate driven by a non-conservative force
Denis Bonheure, Filippo Gazzola, Irena Lasiecka +1
A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads t…
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…
Equilibrium configuration of a rectangular obstacle immersed in a channel flow
Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola
Fluid flows around an obstacle generate vortices which, in turn, generate lift forces on the obstacle. Therefore, even in a perfectly symmetric framework equilibrium positions may…