36 citations · 142 across the 9 of their papers we have counts for
11 papers
Strong order-one convergence of the Euler method for random ordinary differential equations driven by semi-martingale noises
Peter E. Kloeden, Ricardo M. S. Rosa
It is well known that the Euler method for a random ordinary differential equation driven by a stochastic process with -…
Optimal minimax bounds for time and ensemble averages for the incompressible Navier-Stokes equations
Ricardo M. S. Rosa, Roger M. Temam
Obtaining sharp estimates for quantities involved in a given model is an integral part of the modeling process. For dynamical systems whose orbits display a complicated, perhaps ch…
On the existence, uniqueness and regularity of solutions of a viscoelastic Stokes problem modelling salt rocks
R. A. Cipolatti, I. -S. Liu, L. A. Palermo +2
A Stokes-type problem for a viscoelastic model of salt rocks is considered, and existence, uniqueness and regularity are investigated in the scale of -based Sobolev spaces. Th…
Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations
Ciprian Foias, Ricardo M. S. Rosa, Roger M. Temam
The stationary version of a modified definition of statistical solution for the three-dimensional incompressible Navier-Stokes equations introduced in a previous work is investigat…
Abstract Framework for the Theory of Statistical Solutions
Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M. S. Rosa
An abstract framework for the theory of statistical solutions is developed for general evolution equations, extending the theory initially developed for the three-dimensional incom…
Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations
Ciprian Foias, Ricardo M. S. Rosa, Roger Temam
Using the concept of stationary statistical solution, which generalizes the notion of invariant measure, it is proved that, in a suitable sense, time averages of almost every Leray…