358 citations · 1.1k across the 21 of their papers we have counts for
11 papers · 1 filter
On Galerkin approximations of the Navier-Stokes equations in the limit of large Grashof numbers
Ciprian Foias, Luan Hoang, Michael S. Jolly
We examine how stationary solutions to Galerkin approximations of the Navier--Stokes equations behave in the limit as the Grashof number tends to . An appropriate scali…
Navier and Stokes meet Poincar\' e and Dulac
Ciprian Foias, Luan Hoang, Jean-Claude Saut
This paper surveys various precise (long-time) asymptotic results for the solutions of the Navier-Stokes equations with potential forces in bounded domains. It turns out that that…
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini +1
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map…
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…
A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics
Ciprian Foias, Cecilia F. Mondaini, Edriss S. Titi
We adapt a previously introduced continuous in time data assimilation (downscaling) algorithm for the 2D Navier-Stokes equations to the more realistic case when the measurements ar…
On the emergence of the Navier-Stokes- model for turbulent channel flows
Ciprian Foias, Jing Tian, Bingsheng Zhang
In a series of papers (see \cite{CDT02} and the pertinent references therein) the 3D Navier-Stokes- model were shown to be a useful complement to the 3D Navier-Stokes equations;…