70 citations · 397 across the 50 of their papers we have counts for
52 papers
Finding a reconnection in a vortex-haystack
Abhishek Harikrishnan, Benjamin Musci, Adrien Lopez +8
Counter-rotating vortex reconnection is a topology-transforming event that leads to strong vorticity amplification and is often associated with the most irregular regions of the ve…
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 Ramírez, 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…
Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda
In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent wi…