3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2025
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…