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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.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…
math.AP2024
Analysis of a nonlinear fish-bone model for suspension bridges with rigid hangers in the presence of flow effects
Alessio Falocchi, Justin T. Webster
We consider a dynamic system of nonlinear partial differential equations modeling the motions of a suspension bridge. This fish-bone model captures the flexural displacements of th…