most citedTime-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity

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math.AP2024

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…

math.AP2024

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…

math.AP2024

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…

math.AP2023

Global Weak Solutions to a Time-Periodic Body-Liquid Interaction Problem

Denis Bonheure, Giovanni P. Galdi

We prove existence of time-periodic weak solutions to the coupled liquid-structure problem constituted by an incompressible Navier-Stokes fluid interacting with a rigid body of fin…

math.AP2022

Mathematical Analysis of Flow-Induced Oscillations of a Spring-Mounted Body in a Navier-Stokes Liquid

Giovanni Paolo Galdi

We study the motion of a rigid body subject to an undamped elastic restoring force, in the stream of a viscous liquid . The motion of the coupled system $\…

math.AP20162 cited

Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity

Giovanni P. Galdi, Mads Kyed

An asymptotic expansion at spatial infinity of a weak time-periodic solution to the Navier-Stokes equations with a non-zero drift term in the three-dimensional whole-space is carri…