178 citations · 316 across the 39 of their papers we have counts for
51 papers
Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems
Boris Muha, Sebastian Schwarzacher, Justin T. Webster
We introduce several notions of resonance for systems exhibiting weak or partial dissipation: , with the generator of a strongly stable semigroup on a Hi…
Analyticity of the data-to-solution map for a stationary Navier-Stokes fluid-structure interaction problem
Iva Mikuš, Boris Muha
We consider a stationary fluid--structure interaction problem in which the steady Navier--Stokes equations are coupled, through a free elastic interface, with a clamped Euler-Berno…
Exponential Decay of Solutions to a Fluid-Plate Model with Small Initial Data
Mario Bukal, Igor Kukavica, Linfeng Li +1
We consider a three-dimensional fluid-structure interaction problem coupling the incompressible Navier-Stokes equations in a time-dependent domain with a square-root damped plate e…
From Polynomial Stability to Periodic Well-posedness in Partially Dissipative Systems
Giovanni P. Galdi, Boris Muha, Justin T. Webster
The study of resonances (and well-posedness) for complex systems under time-periodic loading is of broad interest in application. The work of Galdi et al.~(2014) connects asymptoti…
AE-ViT: Stable Long-Horizon Parametric Partial Differential Equations Modeling
Iva Mikuš, Boris Muha, Domagoj Vlah
Deep Learning Reduced Order Models (ROMs) are becoming increasingly popular as surrogate models for parametric partial differential equations (PDEs) due to their ability to handle…
A Temperature-Coupled Cahn-Hilliard-Stokes-Heat Model for Thermally Driven Phase Separation
Maria Deliyianni, Boris Muha, Andrej Novak
We study a diffuse-interface model for thermally driven phase separation in viscous incompressible mixtures. The system couples a convective Cahn-Hilliard equation for the order pa…
The diffuse interface approximation to fluid-structure interaction
Francis R. A. Aznaran, Martina Bukač, Boris Muha
We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressibl…
Steady weak solutions to an inflow/outflow driven compressible fluid-structure interaction problem
Boris Muha, Šárka Nečasová, Milan Pokorný +2
We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier…
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…
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…
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…
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…
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…
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…
Time-Periodic Solutions for Hyperbolic-Parabolic Systems
Stanislav Mosny, Boris Muha, Sebastian Schwarzacher +1
Time-periodic weak solutions for a coupled hyperbolic-parabolic system are obtained. A linear heat and wave equation are considered on two respective -dimensional spatial domain…
Analysis of an Inelastic Contact Problem for the Damped Wave Equation
Boris Muha, Srđan Trifunović
In this paper, we examine the dynamic behavior of a viscoelastic string oscillating above a rigid obstacle in a one-dimensional setting, accounting for inelastic contact between th…
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…
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…
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…
Reduced Order Modeling of Partial Differential Equations on Parameter-Dependent Domains Using Deep Neural Networks
Martina Bukač, Iva Manojlović, Boris Muha +1
Partial differential equations (PDEs) are widely used for modeling various physical phenomena. These equations often depend on certain parameters, necessitating either the identifi…
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…
Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts
Malte Kampschulte, Boris Muha, Srđan Trifunović
In this paper, we study an interaction problem between a compressible viscous fluid and a nonlinear viscoelastic solid fully immersed in the fluid, coupled together on th…
On the regularity of weak solutions to the fluid-rigid body interaction problem
Boris Muha, Šárka Nečasová, Ana Radošević
We study a 3D fluid-rigid body interaction problem. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a sy…
Global weak solutions in nonlinear 3D thermoelasticity
Tomasz Cieślak, Boris Muha, Srđan Trifunović
Here we study a nonlinear thermoelasticity hyperbolic-parabolic system describing the balance of momentum and internal energy of a heat-conducting elastic body, preserving the posi…