12 papers
Blow-up and uniqueness of Leray-Hopf solutions to forced Navier-Stokes equations
Giovanni Paolo Galdi, Filippo Gazzola
We prove the existence of forces and smooth initial data such that the associated Leray-Hopf solution of the 3D Navier-Stokes equations is unique, global-in-time, satisfies the ene…
On Serrin Interior Regularity Criterion for Navier-Stokes Equations
Robin Ming Chen, Giovanni P. Galdi, Bruno Poggi +1
We revisit Serrin's interior spatial regularity criterion for distributional solutions to the Navier-Stokes equations in and considerably relax the hypotheses in two…
From Polynomial Stability to Periodic Well-posedness in Partially Dissipative Systems
Giovanni P. Galdi, Boris Muha, Justin T. Webster
The study of resonances (and well-posedness) for complex systems under time-periodic loading is of broad interest in application. The work of Galdi et al.~(2014) connects asymptoti…
On Local Regularity of Distributional Solutions to the Navier--Stokes Equations
GiovanniP. Galdi
We provide a sharp result that guarantees that a distributional solution satisfying the Prodi-Serrin condition is regular in the spatial variables. The solution does not need to be…
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…
Equilibrium Configurations and their Uniqueness in a Fluid-Solid Interaction Problem
D. Bonheure, G. P. Galdi, C. Patriarca
We demonstrate existence in the ``large" and uniqueness in the ``small" of equilibrium configurations for the coupled system consisting of a Navier-Stokes fluid interacting with a…