Generalized Lagrangian coherent structures (Q1640910)

scientific article; zbMATH DE number 6889493

Language	Label	Description	Also known as
English	Generalized Lagrangian coherent structures	scientific article; zbMATH DE number 6889493

Statements

instance of

scholarly article

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title

Generalized Lagrangian coherent structures (English)

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author

Sanjeeva Balasuriya

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Nicholas T. Ouellette

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14 June 2018

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full work available at URL

https://hdl.handle.net/1912/10374

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zbMATH Keywords

Lagrangian coherent structures

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fluid flow

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flow barriers

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ocean eddies

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atmospheric vortices

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describes a project that uses

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Barriers and Transport in Unsteady Flows

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

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Invariant-tori-like Lagrangian coherent structures in geophysical flows

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Lagrangian coherent structures and mixing in two-dimensional turbulence

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Distinguished material surfaces and coherent structures in three-dimensional fluid flows

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Lagrangian coherent structures from approximate velocity data

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Objective Eulerian coherent structures

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Q2965103

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Detecting barriers to transport: a review of different techniques

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The dynamics of enstrophy transfer in two-dimensional hydrodynamics

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On the identification of a vortex

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An exact criterion for the stirring properties of nearly two-dimensional turbulence

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Dichotomies in stability theory

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Exponential dichotomies, heteroclinic orbits, and Melnikov functions

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Exponential dichotomies and transversal homoclinic points

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Explicit invariant manifolds and specialised trajectories in a class of unsteady flows

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Lagrangian transport in geophysical jets and waves. The dynamical systems approach

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Chaotic transport in dynamical systems

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Partitioning two-dimensional mixed phase spaces

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Q3249645

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Mesochronic classification of trajectories in incompressible 3D vector fields over finite times

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Defining coherent vortices objectively from the vorticity

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Capturing deviation from ergodicity at different scales

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Elementary topology of two-dimensional turbulence from a Lagrangian viewpoint and single-particle dispersion

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Local stable and unstable manifolds and their control in nonautonomous finite-time flows

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Melnikov theory for finite-time vector fields

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Computing Lagrangian coherent structures from their variational theory

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Geodesic theory of transport barriers in two-dimensional flows

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Hyperbolic and elliptic transport barriers in three-dimensional unsteady flows

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Detecting invariant manifolds as stationary Lagrangian coherent structures in autonomous dynamical systems

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Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows

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A set oriented definition of finite-time Lyapunov exponents and coherent sets

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Fast computation of finite-time Lyapunov exponent fields for unsteady flows

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Do finite-size Lyapunov exponents detect coherent structures?

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Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows

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Transport in time-dependent dynamical systems: Finite-time coherent sets

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Relatively coherent sets as a hierarchical partition method

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Finite-time braiding exponents

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Absolute flux optimising curves of flows on a surface

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Geometry of the ergodic quotient reveals coherent structures in flows

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Patchiness: A New Diagnostic for Lagrangian Trajectory Analysis in Time-Dependent Fluid Flows

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Stretching and folding in finite time

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Dynamic isoperimetry and the geometry of Lagrangian coherent structures

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Lagrangian Statistics from Oceanic and Atmospheric Observations

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Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre

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Transport in Transitory Dynamical Systems

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HYPERBOLICITY AND INVARIANT MANIFOLDS FOR PLANAR NONAUTONOMOUS SYSTEMS ON FINITE TIME INTERVALS

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Detection and characterization of transport barriers in complex flows via ridge extraction of the finite time Lyapunov exponent field

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A Numerical Scheme for Computing Stable and Unstable Manifolds in Nonautonomous Flows

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Coherent Lagrangian vortices: the black holes of turbulence

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Experimental study and nonlinear dynamic analysis of time-periodic micro chaotic mixers

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Numerical solution of SDE through computer experiments. Including floppy disk

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Identifiers

zbMATH Open document ID

1391.76002

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Mathematics Subject Classification ID

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10.1016/J.PHYSD.2018.01.011

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Sitelinks

Mathematics(1 entry)

mardi Publication:1640910