activity
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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Showing 2021Show all

3 papers · 1 filter

math.AP2021

Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid-structure interaction

Jeffrey Kuan, Tadahiro Oh, Sunčica Čanić

We prove probabilistic well-posedness for a 2D viscous nonlinear wave equation modeling fluid-structure interaction between a 3D incompressible, viscous Stokes flow and nonlinear e…

math.AP2021

A stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equation

Jeffrey Kuan, Suncica Canic

We study well-posedness for fluid-structure interaction driven by stochastic forcing. This is of particular interest in real-life applications where forcing and/or data have a stro…

math.AP2021★ 1 cited

Deterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction

Jeffrey Kuan, Suncica Canic

We study low regularity behavior of the nonlinear wave equation in augmented by the viscous dissipative effects described by the Dirichlet-Neumann operator. Problems…