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20202022
most citedDeterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2024

Existence and Regularity Results for a Nonlinear Fluid-Structure Interaction Problem with Three-Dimensional Structural Displacement

Sunčica Čanić, Boris Muha, Krutika Tawri

In this paper we investigate a nonlinear fluid-structure interaction (FSI) problem involving the Navier-Stokes equations, which describe the flow of an incompressible, viscous flui…

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.AP20211 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…

math.AP2020

Multilayered Poroelasticity Interacting with Stokes Flow

Lorena Bociu, Sunčica Čanić, Boris Muha +1

We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linea…