5 papers
A fully averaged poroelastic Kirchhoff plate interacting with an incompressible, viscous fluid: analysis and numerical simulation
Felix Brandt, SunÄica ÄaniÄ, 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…
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…
A Regularized Interface Method for Fluid-Poroelastic Structure Interaction Problems with Nonlinear Geometric Coupling
Jeffrey Kuan, SunÄica ÄaniÄ, 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…
Three-dimensional Navier-Stokes-Biot coupling via a moving reticular plate interface: existence of weak solutions
Felix Brandt, SunÄica ÄaniÄ, 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…
Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling
Jeffrey Kuan, SunÄica ÄaniÄ, 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…