293 citations · 461 across the 13 of their papers we have counts for
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Chaotic mixing in plane Couette turbulence
John R. Elton, Predrag Cvitanović, Jonathan Halcrow +1
Lagrangian tracer particle trajectories for invariant solutions of the Navier-Stokes equations confined to the three-dimensional geometry of plane Couette flow are studied. Treatin…
Heteroclinic connections in plane Couette flow
Jonathan Halcrow, John F. Gibson, Predrag Cvitanović +1
Plane Couette flow transitions to turbulence for Re~325 even though the laminar solution with a linear profile is linearly stable for all Re (Reynolds number). One starting point f…
Visualizing the geometry of state space in plane Couette flow
John F. Gibson, Jonathan Halcrow, Predrag Cvitanović
Motivated by recent experimental and numerical studies of coherent structures in wall-bounded shear flows, we initiate a systematic exploration of the hierarchy of unstable invaria…