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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…

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.AP2026

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.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…