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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 2026Show all

8 papers · 1 filter

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

cs.LG2026

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…

math.AP2026

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…

math.NA2026

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…

math.AP2026

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…