From the 1 of 7 linked papers with an AI index.
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Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations
Tim Binz, Matei P. Coiculescu
The paper studies homothetic forward self‑similar solutions of the incompressible Navier‑Stokes equations, proving Liouville theorems that rule out non‑trivial solutions in 3D and…
Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Tim Binz, Matthias Hieber, Arnab Roy
This article investigates a coupled viscoelastic Navier--Stokes--Biot system describing the interaction between an incompressible viscous fluid and a poro--viscoelastic medium in t…
Interaction of geophysical flows with sea ice dynamics
Tim Binz, Felix Brandt, Matthias Hieber
This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmosphe…
Long-term behaviour of the primitive equations with wind-driven boundary conditions: Convergence to the Ekman spiral
Tim Binz
In this article we investigate the long-term behaviour of the 3D incompressible, primitive equations with wind-driven boundary conditions and Coriolis force. We show that every sol…
Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang
Tim Binz, Felix Brandt, Matthias Hieber +1
Consider the CAO-problem introduced by Lions, Temam and Wang, which concerns a system of two fluids described by two primitive equations coupled by fully nonlinear interface condit…
Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
Tim Binz, Matthias Hieber, Arnab Roy
This article considers fluid structure interaction describing the motion of a fluid contained in a porous medium. The fluid is modelled by Navier-Stokes equations and the coupling…