178 citations · 404 across the 15 of their papers we have counts for
10 papers · 1 filter
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…
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem
Krutika Tawri, Suncica Canic
In this paper we study a nonlinear stochastic fluid-structure interaction problem with a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations de…
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…
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…
Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
Boris Muha, Suncica Canic
We study a nonlinear, moving boundary fluid-structure interaction problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elas…
Existence of a solution to a fluid-multi-layered-structure interaction problem
Boris Muha, Suncica Canic
We study a nonlinear, unsteady, moving boundary, fluid-structure (FSI) problem in which the structure is composed of two layers: a thin layer which is in contact with the fluid, an…
Existence 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
Boris Muha, Suncica Canic
We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow,…