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math.AP2020
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…
math.AP2020
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…