1 citations · 2 across the 15 of their papers we have counts for
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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…
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…
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…
On the Propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Force with a Zero Average
Joris Edelmann, Giovanni P. Galdi, Mher M. Karakouzian +1
We perform analytical and numerical analyses of the propulsion of a rigid body in a viscous fluid subjected to a periodic force with zero average over a period. This general formul…
Very Weak Solutions and Asymptotic Behavior of Leray Solutions to the Stationary Navier-Stokes Equations
Giovanni Paolo Galdi
Let $\bfu$ be a Leray solution to the Navier-Stokes boundary-value problem in an exterior domain, vanishing at infinity and satisfying the generalized energy inequality. We show th…
Forced Oscillations of a Spring-Mounted Body by a Viscous Liquid: Rotational Case
Denis Bonheure, Giovanni Paolo Galdi, Clara Patriarca
We study the periodic motions of the coupled system , consisting of an incompressible Navier-Stokes fluid interacting with a structure formed by a rigid body subject to…
The transition problem between time-independent motions of a body in a viscous liquid
Giovanni P. Galdi, Toshiaki Hishida
A body moves in an unbounded Navier-Stokes liquid by time-independent translatory motion. Suppose that at time , smoothly changes its motion to an ar…
On Self-Propulsion by Oscillations in a Viscous Liquid
Giovanni P. Galdi, Boris Muha, Ana Radošević
Suppose that a body can move by translatory motion with velocity in an otherwise quiescent Navier-Stokes liquid, , filling the entire space…
On the Propulsion of a Rigid Body in a Viscous Liquid Under the Action of a Time-Periodic Force
Mher Marc Karakouzian, Giovanni P. Galdi
A rigid body moves in an otherwise quiescent viscous liquid filling the whole space outside , under the action of a time-periodic force $\boldsymbol{\mat…
Flow-induced Oscillations via Hopf Bifurcation in a Fluid-Solid Interaction Problem
Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola
We furnish necessary and sufficient conditions for the occurrence of a Hopf bifurcation in a particularly significant fluid-structure problem, where a Navier-Stokes liquid interact…
Stability of equilibria and bifurcations for a fluid-solid interaction problem
Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola
We study certain significant properties of the equilibrium configurations of a rigid body subject to an undamped elastic restoring force, in the stream of a viscous liquid in an un…
On the Asymptotic Behavior in Time of the Kinetic Energy in a Rigid Body-Liquid Problem
Giovanni P. Galdi, Paolo Maremonti
We give sufficient conditions on the initial data for the decay in time of the kinetic energy, , of solutions to the system of equations describing the motion of a rigid body in…