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math.AP2025
Some bounds for the eigenfunctions of the Stokes problem under Navier boundary conditions in a cube
Gianni Arioli, Alessio Falocchi, Filippo Gazzola
We prove some bounds for the eigenfunctions of the Stokes problem under Navier boundary conditions in a cube.
math.AP2024
On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier-Stokes equations
Luigi C. Berselli, Alessio Falocchi, Rossano Sannipoli
In this paper we consider, by means of a precise spectral analysis, the 3D Navier-Stokes equations endowed with Navier slip-with-friction boundary conditions. We study the problem…
math.AP2020★ 2 cited
A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions
E. Berchio, A. Falocchi
It is well known that for higher order elliptic equations the positivity preserving property (PPP) may fail. In striking contrast to what happens under Dirichlet boundary condition…