5 papers
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…
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-…
The Effect of Stochasticity in Score-Based Diffusion Sampling: a KL Divergence Analysis
Bernardo P. Schaeffer, Ricardo M. S. Rosa, Glauco Valle
Sampling in score-based diffusion models can be performed by solving either a reverse-time stochastic differential equation (SDE) parameterized by an arbitrary stochasticity functi…
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…