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math.AP2022
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…
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…