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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 · 316 across the 39 of their papers we have counts for

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math.NA2026

The diffuse interface approximation to fluid-structure interaction

Francis R. A. Aznaran, Martina Bukač, Boris Muha

We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressibl…