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math.AP2025
Steady Self-Propelled Motion of a Rigid Body in a Viscous Fluid with Navier-Slip Boundary Conditions
Sarka Necasova, Arnab Roy, Ana Leonor Silvestre
We investigate the steady self-propelled motion of a rigid body immersed in a three-dimensional incompressible viscous fluid governed by the Navier-Stokes equations. The analysis i…
math.AP2025
Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
Tim Binz, Matthias Hieber, Arnab Roy
This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling…
math.AP2025
Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems
Claudiu Mîndrilă, Arnab Roy
We establish the existence of weak solutions for a class of fully coupled multilayered fluid-structure interaction systems in a three-dimensional spatial setting. The model consist…