5 papers
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…
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…
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…
Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel
Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1
We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…