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physics.flu-dyn2010
A two-dimensional model of shear-flow transition
Norman R. Lebovitz
We explore a two-dimensional dynamical system modeling transition in shear flows to try to understand the nature of an 'edge' state. The latter is an invariant set in phase space s…
physics.flu-dyn2009★ 16 cited
Shear-flow transition: the basin boundary
Norman Lebovitz
The structure of the basin of attraction of a stable equilibrium point is investigated for a dynamical system (W97) often used to model transition to turbulence in shear flows. The…
physics.flu-dyn2008★ 30 cited
The Hamiltonian description of incompressible fluid ellipsoids
P. J. Morrison, N. R. Lebovitz, J. A. Biello
We construct the noncanonical Poisson bracket associated with the phase space of first order moments of the velocity field and quadratic moments of the density of a fluid with a fr…