47 citations · 71 across the 2 of their papers we have counts for
5 papers
Multiscale Mixing Efficiencies for Steady Sources
Charles R. Doering, Jean-Luc Thiffeault
Multiscale mixing efficiencies for passive scalar advection are defined in terms of the suppression of variance weighted at various length scales. We consider scalars maintained by…
Topological Chaos in Spatially Periodic Mixers
Matthew D. Finn, Jean-Luc Thiffeault, Emmanuelle Gouillart
Topologically chaotic fluid advection is examined in two-dimensional flows with either or both directions spatially periodic. Topological chaos is created by driving flow with movi…
Continuum Equations for Stellar Dynamics
Edward A. Spiegel, Jean-Luc Thiffeault
The description of a stellar system as a continuous fluid represents a convenient first approximation to stellar dynamics, and its derivation from the kinetic theory is standard. T…
Differential Constraints in Chaotic Flows on Curved Manifolds
Jean-Luc Thiffeault
The Lagrangian derivatives of finite-time Lyapunov exponents and the corresponding characteristic directions are shown to satisfy time-asymptotic differential constraints in chaoti…
Classification, Casimir Invariants, and Stability of Lie-Poisson Systems
Jean-Luc Thiffeault
We classify Lie-Poisson brackets that are formed from Lie algebra extensions. The problem is relevant because many physical systems owe their Hamiltonian structure to such brackets…