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math.AP2025
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…
math.AP2025
Improved equilibration rates to self-similarity for strong solutions of a thin-film and related evolution equations
Mario Bukal
This paper investigates the asymptotic behavior of strong solutions to a family of nonlinear fourth-order evolution equations on the real line, with particular focus on the thin-fi…
math.AP2025
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…