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math.AP2026
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…
math.AP2026
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…