67 citations · 118 across the 31 of their papers we have counts for
6 papers · 1 filter
Issues of Chaos and Recurrence in Infinite Dimensions
Y. Charles Li
Various issues with regard to chaos and recurrence in infinite dimensions are discussed. The doctrine we are trying to derive is that Sobolev spaces over bounded spatial domains do…
Stability Criteria of 3D Inviscid Shears
Y. Charles Li
The classical plane Couette flow, plane Poiseuille flow, and pipe Poiseuille flow share some universal 3D steady coherent structure in the form of "streak-roll-critical layer". As…
Chaos in Partial Differential Equations
Y. Charles Li
This is a survey on the recent theory of chaos in partial differential equations.
On the Chaotic Flux Dynamics in a Long Josephson Junction
Z. C. Feng, Y. Charles Li
Flux dynamics in an annular long Josephson junction is studied. Three main topics are covered. The first is chaotic flux dynamics and its prediction via Melnikov integrals. It turn…
A resolution of the turbulence paradox: numerical implementation
Yueheng Lan, Y. Charles Li
Sommerfeld paradox (turbulence paradox) roughly says that mathematically the Couette linear shear flow is linearly stable for all values of the Reynolds number, but experimentally…
A Resolution of the Sommerfeld Paradox
Y. Charles Li, Zhiwu Lin
Sommerfeld paradox roughly says that mathematically Couette linear shear is linearly stable for all Reynolds number, but experimentally arbitrarily small perturbations can induce t…