collaborators

5 papers

math.AP2026

On the evolutionary Navier-Stokes equations in distorted pipes under dynamic and energy-stable outflow boundary conditions

Alessio Falocchi, Ana Leonor Silvestre, Gianmarco Sperone

We consider the evolution of a viscous incompressible fluid in three-dimensional distorted pipes, of finite length, modeled through the Navier-Stokes equations with mixed boundary…

math.AP2026

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…

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

Approximation of time-periodic flow past a translating body by flows in bounded domains

Thomas Eiter, Ana Leonor Silvestre

We consider a time-periodic incompressible three-dimensional Navier-Stokes flow past a translating rigid body. In the first part of the paper, we establish the existence and unique…

math.AP2025

On the stationary Navier-Stokes equations in distorted pipes under energy-stable outflow boundary conditions

Alessio Falocchi, Ana Leonor Silvestre, Gianmarco Sperone

The steady motion of a viscous incompressible fluid in distorted pipes, of finite length, is modeled through the Navier-Stokes equations with mixed boundary conditions: the inflow…