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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

On the Propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Force with a Zero Average

Joris Edelmann, Giovanni P. Galdi, Mher M. Karakouzian +1

We perform analytical and numerical analyses of the propulsion of a rigid body in a viscous fluid subjected to a periodic force with zero average over a period. This general formul…

math.AP2025

Very Weak Solutions and Asymptotic Behavior of Leray Solutions to the Stationary Navier-Stokes Equations

Giovanni Paolo Galdi

Let $\bfu$ be a Leray solution to the Navier-Stokes boundary-value problem in an exterior domain, vanishing at infinity and satisfying the generalized energy inequality. We show th…

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

On Self-Propulsion by Oscillations in a Viscous Liquid

Giovanni P. Galdi, Boris Muha, Ana Radošević

Suppose that a body can move by translatory motion with velocity in an otherwise quiescent Navier-Stokes liquid, , filling the entire space…