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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…
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…
Homogenization of Leray's flux problem for the steady-state Navier-Stokes equations in a multiply-connected planar domain
Clara Patriarca, Gianmarco Sperone
The steady motion of a viscous incompressible fluid in a multiply-connected, planar, bounded domain (perforated with a large number of small holes) is modeled through the Navier-St…