9 citations · 10 across the 3 of their papers we have counts for
3 papers
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…
Beta Spaces: New Generalizations of Typically-Metric Properties
Annie Carter, Daniel Lithio, Robert Niichel +1
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-met…
Generalized Hyperspaces and Non-Metrizable Fractals
Annie Carter, Daniel Lithio, Tristan Tager
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the beha…