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math.AP2026
Optimal minimax formula for bounds on ensemble averages of statistically stationary three-dimensional Navier-Stokes flows
Anne Bronzi, Cecília F. Mondaini, Ricardo M. S. Rosa
We establish an optimal upper bound formula for ensemble averages of flow quantities associated with the three-dimensional incompressible Navier-Stokes equations. The formula takes…
math.AP2026
Energy cascade for cross-shear length scales in free-shear three-dimensional incompressible viscous flows
Ricardo M. S. Rosa
The phenomenon of energy cascade is addressed in the case of free-shear flows, modeled with the equations for incompressible Newtonian fluids with mixed periodic and free-slip boun…