3 citations · 4 across the 7 of their papers we have counts for
7 papers
Steady Motion of a Self-Propelled Body in a Viscous Fluid: Dirichlet Boundary Conditions with Nonzero Flux
Šárka Nečasová, Arnab Roy, Ana Leonor Silvestre
We study the steady self-propelled motion of a rigid body immersed in an incompressible viscous fluid occupying an exterior domain in . In a body-fixed reference fram…
Existence of weak solutions for incompressible fluid-Koiter shell interactions with Navier slip boundary condition
Claudiu Mîndrilă, Arnab Roy
We study a three-dimensional fluid-structure interaction problem describing the motion of an incompressible, viscous fluid coupled with a deformable elastic shell of Koiter type th…
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 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…
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…
Compressible Navier--Stokes system with the hard sphere pressure law in an exterior domain
Sarka Necasova, Antonin Novotny, Arnab Roy
We consider the motion of compressible Navier-Stokes fluids with the hard sphere pressure law around a rigid obstacle when the velocity and the density at infinity are non zero. Th…