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20182026
most citedFluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling

1 citations · 1 across the 5 of their papers we have counts for

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math.AP2026

A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation

Felix Brandt, Sunčica Čanić, Andrew Scharf +1

We study a new fully averaged poroelastic Kirchhoff plate model coupled with the flow of an incompressible, viscous fluid governed by the time-dependent Stokes equations. The fully…

math.AP2026

Stochastic Compressible Euler Equations with Frictional Damping: Existence of Martingale Solutions and Asymptotic Porous Medium-Like Behavior

Rongyi Dai, Jeffrey Kuan, Krutika Tawri +2

We study the one-dimensional isentropic compressible Euler equations with linear (frictional) damping, subject to multiplicative, white-in-time stochastic forcing. The system is po…

math.AP2025

A Regularized Interface Method for Fluid-Poroelastic Structure Interaction Problems with Nonlinear Geometric Coupling

Jeffrey Kuan, Sunčica Čanić, Boris Muha

We introduce a new regularized interface method for proving existence of weak solutions to nonlinear moving boundary problems with low-regularity interfaces. We study a fluid-poroe…

math.AP2025

Three-dimensional Navier-Stokes-Biot coupling via a moving reticular plate interface: existence of weak solutions

Felix Brandt, Sunčica Čanić, Boris Muha

We prove the existence of finite-energy weak solutions to a regularized three-dimensional fluid-structure interaction (FSI) problem involving an incompressible, viscous, Newtonian…

math.AP2023★ 1 cited

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…

math.AP2019

Analysis of a 3D Nonlinear, Moving Boundary Problem describing Fluid-Mesh-Shell Interaction

Sunčica Čanić, Marija Galić, Boris Muha

We consider a nonlinear, moving boundary, fluid-structure interaction problem between a time dependent incompressible, viscous fluid flow, and an elastic structure composed of a cy…

math.AP2018

A Generalization of the Aubin-Lions-Simon Compactness Lemma for Problems on Moving Domains

Boris Muha, Sunčica Čanić

This work addresses an extension of the Aubin-Lions-Simon compactness result to generalized Bochner spaces , where is a family of Hilbert spaces, parameterize…