358 citations · 1.1k across the 21 of their papers we have counts for
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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…
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…
A unified approach to determining forms for the 2D Navier-Stokes equations - the general interpolants case
Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1
In this paper we show that the long time dynamics (the global attractor) of the 2D Navier-Stokes equation is embedded in the long time dynamics of an ordinary differential equation…