• Citer

Stability of equilibria and bifurcations for a fluid-solid interaction problem

par Bonheure, Denis ;Galdi, Giovanni Paolo;Gazzola, Filippo
Référence Journal of differential equations, 408, page (324-367)
Publication Publié, 2024-11

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

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 unbounded 3D domain. The motion of the coupled system is driven by a uniform flow at spatial infinity, with constant dimensionless velocity λ. We show that if λ is below a critical value, λc (say), there is a unique and stable time-independent configuration, where the body is in equilibrium and the flow is steady. We also prove that, if λ<λc, no oscillatory flow may occur. Successively, we investigate possible loss of uniqueness by providing necessary and sufficient conditions for the occurrence of a steady bifurcation at some λs≥λc.