On periodic motions of a harmonic oscillator interacting with incompressible fluids

• Published in: Physica. D Vol. 467; p. 134259
• Main Authors: Mazzone, Giusy, Mohebbi, Mahdi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.11.2024
• Subjects: Navier–Stokes equations; Periodic solutions; Resonance; Undamped mass–spring-fluid interaction; Navier–Stokes equations; 35D35; Periodic solutions; 35B34; 74F10; 35D30; 35B10; 76D05; Resonance; 35Q30; Undamped mass–spring-fluid interaction

We consider a mass–spring system immersed in an incompressible fluid flow governed by the Navier–Stokes equations subject to a prescribed time-periodic flow rate (and possibly external time-periodic body forces on the fluid and the mass). We show that, with no restriction on the period of the flow r...