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20122026
most citedExistence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

178 citations · 404 across the 15 of their papers we have counts for

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math.AP2012★ 178 cited

Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls

Boris Muha, Suncica Canic

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow,…

math.NA2012★ 126 cited

Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement

Martina Bukac, Suncica Canic, Roland Glowinski +2

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement…