Comment on “Finding finite-time invariant manifolds in two-dimensional velocity fields” [Chaos 10, 99 (2000)]

DOI10.1063/1.1374241zbMath1080.37517OpenAlexW1974284435WikidataQ73463055 ScholiaQ73463055MaRDI QIDQ5706260

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Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1374241

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical systems approach to turbulence (76F20) Invariant manifold theory for dynamical systems (37D10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (8)

Objective Eulerian coherent structures ⋮ Defining coherent vortices objectively from the vorticity ⋮ Response to “Comment on ‘Finding finite-time invariant manifolds in two-dimensional velocity fields’ ” [Chaos 11, 427 (2001)] ⋮ Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence ⋮ Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence ⋮ Lagrangian coherent structures from approximate velocity data ⋮ Pollution release tied to invariant manifolds: a case study for the coast of Florida ⋮ Statistics of advective stretching in three-dimensional incompressible flows

Cites Work

• Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow
• On the validity of the ``Weiss criterion in two-dimensional turbulence
• An exact criterion for the stirring properties of nearly two-dimensional turbulence
• Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow
• Does the tracer gradient vector align with the strain eigenvectors in 2D turbulence?
• Finding finite-time invariant manifolds in two-dimensional velocity fields

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