4 papers · 1 filter
Optimal minimax formula for bounds on ensemble averages of statistically stationary three-dimensional Navier-Stokes flows
Anne Bronzi, CecÃlia 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…
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…
Regularity of the global attractor for the 2D incompressible Navier-Stokes equations on channel-like domains
Ricardo M. S. Rosa
The regularity of the global attractor of the incompressible Navier-Stokes equations for flows on two-dimensional domains is considered. It is assumed that domain is a channel…
On the convergence of trajectory statistical solutions
Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M. S. Rosa
In this work, a recently introduced general framework for trajectory statistical solutions is considered, and the question of convergence of families of such solutions is addressed…