31 citations · 165 across the 40 of their papers we have counts for
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Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling
Jeffrey Kuan, Sunčica Čanić, Boris Muha
We investigate weak solutions to a fluid-structure interaction (FSI) problem between the flow of an incompressible, viscous fluid modeled by the Navier-Stokes equations, and a poro…
Well-posedness of solutions to stochastic fluid-structure interaction
Jeffrey Kuan, Sunčica Čanić
In this paper we introduce a constructive approach to study well-posedness of solutions to stochastic fluid-structure interaction with stochastic noise. We focus on a benchmark pro…
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…
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…
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…