3 papers
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.AP2024
Inviscid fluid interacting with a nonlinear two-dimensional plate
Abhishek Balakrishna, Igor Kukavica, Boris Muha +1
We address a moving boundary problem that consists of a system of equations modeling an inviscid fluid interacting with a two-dimensional nonlinear Koiter plate at the boundary. We…
math.NA2024
Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
Francis R. A. Aznaran, Martina Bukač, Boris Muha +1
We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressibl…