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 · 316 across the 39 of their papers we have counts for

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Showing 2025Show all

6 papers · 1 filter

math.AP2025

A global existence result on weak solutions for the 3D Navier-Stokes-plate system with no contact

Mario Bukal, Igor Kukavica, Linfeng Li +1

We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper bo…

math.AP2025

A no-contact result for a plate-fluid interaction system in dimension three

Mario Bukal, Igor Kukavica, Linfeng Li +1

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described…

math.AP2025

Existence, uniqueness, and long-time asymptotic behavior of regular solutions in multidimensional thermoelasticity

Piotr Michał Bies, Tomasz Cieślak, Mario Fuest +3

We study a simplified nonlinear thermoelasticity model on two- and three-dimensional tori. A novel functional involving the Fisher information associated with temperature is introd…

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.AP2025

On Self-Propulsion by Oscillations in a Viscous Liquid

Giovanni P. Galdi, Boris Muha, Ana Radošević

Suppose that a body can move by translatory motion with velocity in an otherwise quiescent Navier-Stokes liquid, , filling the entire space…