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

collaborators

19 papers

math.NA2026

A Coupled Fluid Naghdi Shell Windkessel Model for Pulmonary Artery Banding: Partitioned Numerical Scheme and Parameter Estimation

Yifan Wang, Josip Tambaca, Suncica Canic

We develop a 3D fluid structure interaction model for blood flow through deformable vessels with localized constrictions, motivated by pulmonary artery banding in neonates with con…

math.NA2026

Second order explicit splitting scheme for fluid-poroelastic structure interaction problems

Yifan Wang, Jeonghun Lee, Suncica Canic

Efficient and provably accurate partitioned methods for fluid-poroelastic structure interaction remain challenging because explicit treatment of the Stokes-Biot interface coupling…

math.NA2026

Error Analysis of the Explicit Splitting Scheme for Fluid-Poroelastic Structure Interaction Problems

Yifan Wang, Jeonghun Lee, Suncica Canic

We present a priori error analysis for a fully discrete, parallelizable, explicit loosely coupled scheme for the time-dependent Stokes-Biot problem. The method decouples the fluid…

math.NA2025

Splitting Method for a Multilayered Poroelastic Solid Interacting with Stokes Flow

Andrew Scharf, Martina Bukač, Sunčica Čanić

Multilayered poroelastic structures are found in many biological tissues such as cartilage and the cornea, and play a key role in the design of bioartificial organs and other bioen…

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.AP2023

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…

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

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…

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…

physics.flu-dyn2015

Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods

Charles Puelz, Suncica Canic, Beatrice Riviere +1

One-dimensional blood flow models take the general form of nonlinear hyperbolic systems but differ greatly in their formulation. One class of models considers the physically conser…

math.AP2015

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…

math.NA2014

Runge-Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks

Suncica Canic, Benedetto Piccoli, Jing-Mei Qiu +1

We propose a bound-preserving Runge-Kutta (RK) discontinuous Galerkin (DG) method as an efficient, effective and compact numerical approach for numerical simulation of traffic flow…

math.NA2014★ 57 cited

A partitioned scheme for fluid-composite structure interaction problems

Martina Bukac, Suncica Canic, Boris Muha

We present a loosely-coupled partitioned scheme for a benchmark problem in fluid-composite structure interaction. The benchmark problem proposed here consists of an incompressible,…

math.NA2013★ 42 cited

A Modular, Operator Splitting Scheme for Fluid-Structure Interaction Problems with Thick Structures

Martina Bukac, Suncica Canic, Roland Glowinski +2

We present an operator-splitting scheme for fluid-structure interaction (FSI) problems in hemodynamics, where the thickness of the structural wall is comparable to the radius of th…

math.AP2013

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…

math.AP2012★ 178 cited

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,…

math.NA2012★ 126 cited

Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement

Martina Bukac, Suncica Canic, Roland Glowinski +2

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement…