3 papers
math.AP2026
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…
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…