4 papers · 1 filter
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…
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…
Multilayered fluid-structure interactions: existence of weak solutions for time-periodic and initial-value problems
Claudiu Mîndrilă, Arnab Roy
We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer,…
Compressible fluids and elastic plates in 2D: A conditional no-contact theorem
Dominic Breit, Arnab Roy
We consider the interaction of a compressible fluid with a flexible plate in two space dimensions. The fluid is described by the Navier--Stokes equations in a domain that is changi…