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20182025
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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…

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.AP2022

Rational Decay of A Multilayered Structure-Fluid PDE System

George Avalos, Pelin G. Geredeli, Boris Muha

In this work, we consider a certain multilayered (thick layer) wave--(thin layer) wave--heat (fluid) interactive PDE system. Such coupled PDE systems have been used in the literatu…

math.AP2021

Vectorial variational problems in constrained by the Navier-Stokes equations

Ed Clark, Nikos Katzourakis, Boris Muha

We study a minimisation problem in and for certain cost functionals, where the class of admissible mappings is constrained by the Navier-Stokes equations. 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…

math.AP2020

A model in one-dimensional thermoelasticity

Tomasz Cieslak, Marija Galić, Boris Muha

We study a one-dimensional nonlinear hyperbolic-parabolic initial boundary value problem occurring in the theory of thermoelasticity. We prove existence and uniqueness of the local…