358 citations · 1.1k across the 21 of their papers we have counts for
24 papers
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…
One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations
Ciprian Foias, Michael S. Jolly, Daniel Lithio +1
The evolution of a determining form for the 2D Navier-Stokes equations (NSE), which is an ODE on a space of trajectories is completely described. It is proved that at every stage o…
Contractions with Polynomial Characteristic Functions II. Analytic Approach
Ciprian Foias, Carl Pearcy, Jaydeb Sarkar
The simplest and most natural examples of completely nonunitary contractions on separable complex Hilbert spaces which have polynomial characteristic functions are the nilpotent op…