15 papers
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…
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…
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 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…
The diffuse interface approximation to fluid-structure interaction
Francis R. A. Aznaran, Martina BukaÄ, 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…