3 citations · 7 across the 4 of their papers we have counts for
4 papers
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;…
On solutions of the 2D Navier-Stokes equations with constant energy and enstrophy
Jing Tian, Bingsheng Zhang
It is not yet known if the global attractor of the space periodic 2D Navier-Stokes equations contains nonstationary solutions such that their energy and enstrophy per unit…
On whether zero is in the global attractor of the 2D Navier-Stokes equations
Ciprian Foias, Michael Jolly, Yong Yang +1
The set of nonzero external forces for which the zero function is in the global attractor of the 2D Navier-Stokes equations is shown to be meagre in a Fréchet topology. A criterion…
Time analyticity with higher norm estimates for the 2D Navier-Stokes equations
Ciprian Foias, Michael S. Jolly, Ruomeng Lan +3
This paper establishes bounds on norms of all orders for solutions on the global attractor of the 2D Navier-Stokes equations, complexified in time. Specifically, for periodic bound…