4 papers · 1 filter
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…
An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces
Vittorino Pata, Justin T. Webster
In this note we propose a definition of weak solution for an abstract Cauchy problem in a Hilbert space, and we discuss existence and uniqueness results.
Weak and Strong Solutions for A Fluid-Poroelastic-Structure Interaction via A Semigroup Approach
George Avalos, Elena Gurvich, Justin T. Webster
A filtration system, comprising a Biot poroelastic solid coupled to an incompressible Stokes free-flow, is considered in 3D. Across the flat 2D interface, the Beavers-Joseph-Saffma…
Strong Stabilization of a 3D Potential Flow via a Weakly Damped von Karman Plate
Abhishek Balakrishna, Irena Lasiecka, Justin T. Webster
The elimination of aeroelastic instability (resulting in sustained oscillations of bridges, buildings, airfoils) is a central engineering and design issue. Mathematically, this tra…