4 papers · 1 filter
Weak Solutions and Inertial Limits for Quasi-static Filtrations
Peter Lavagnino, Arum Lee, Justin T. Webster
A quasi-static filtration system, comprising a poroelastic solid coupled to an incompressible free-flow, is considered in 3D. Across a flat 2D interface, the Beavers-Joseph-Saffman…
From Polynomial Stability to Periodic Well-posedness in Partially Dissipative Systems
Giovanni P. Galdi, Boris Muha, Justin T. Webster
The study of resonances (and well-posedness) for complex systems under time-periodic loading is of broad interest in application. The work of Galdi et al.~(2014) connects asymptoti…
Steady weak solutions to an inflow/outflow driven compressible fluid-structure interaction problem
Boris Muha, Šárka NeÄasová, Milan Pokorný +2
We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier…
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…