4 papers · 1 filter
Extreme flows: where physics meets mathematically rigorous bounds
Bartosz Protas
Extreme flows realize the largest possible growth, either instantaneously or in finite time, of certain quantities of interest which is achieved by a suitable choice of the initial…
On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows
Fabian Bleitner, Bartosz Protas
In this paper we consider solutions of the three-dimensional Navier-Stokes system and investigate sharpness of the a priori bound \begin{align*} \frac{d}{dt}\|\bol…
The Ladyzhenskaya-Prodi-Serrin Conditions and the Search for Extreme Behavior in 3D Navier-Stokes Flows
Elkin RamÃrez, Bartosz Protas
In this investigation, we conduct a systematic computational search for potential singularities in 3D Navier-Stokes flows on a periodic domain based on the Ladyzhenskaya-Prodi…
Fully Turbulent Wakes at Low Reynolds Numbers: the Case of the Thin Flat Plate
Isaac T. Rosin, Melanie S. Chapman, Bartosz Protas +1
We consider the wake flow past a thin two-dimensional flat plate normal to the uniform stream and demonstrate that this flow is turbulent already at a relatively low Reynolds numbe…