Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration
DOI10.1137/19M1261791zbMath1468.37058arXiv1902.09263OpenAlexW3044644228MaRDI QIDQ4964236
Gary Froyland, Martin Stahn, Péter Koltai
Publication date: 25 February 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.09263
Markov semigroups and applications to diffusion processes (47D07) Simulation of dynamical systems (37M05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Variational methods for eigenvalues of operators (49R05)
Related Items (4)
Cites Work
- On the numerical approximation of the Perron-Frobenius and Koopman operator
- Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion
- Computing coherent sets using the Fokker-Planck equation
- Strange eigenmodes and decay of variance in the mixing of diffusive tracers
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- Lagrangian transport in geophysical jets and waves. The dynamical systems approach
- Optimizing the source distribution in fluid mixing
- Coherent sets for nonautonomous dynamical systems
- Finite time transport in aperiodic flows
- Semigroups of linear operators and applications to partial differential equations
- Transport in Hamiltonian systems
- A unified approach to abstract linear nonautonomous parabolic equations
- Chaotic transport in dynamical systems
- From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- Escape rates and Perron-Frobenius operators: open and closed dynamical systems
- A geometric heat-flow theory of Lagrangian coherent structures
- Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification
- Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis
- Diffusion and mixing in fluid flow
- Stationary scattering theory for time-dependent Hamiltonians
- A multiscale measure for mixing
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
- Optimal stirring strategies for passive scalar mixing
- Scalar Decay in Chaotic Mixing
- Using multiscale norms to quantify mixing and transport
- Optimal Mixing Enhancement by Local Perturbation
- THE DYNAMICAL SYSTEMS APPROACH TO LAGRANGIAN TRANSPORT IN OCEANIC FLOWS
- Optimal control of mixing in Stokes fluid flows
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- The development of chaotic advection
- One-Parameter Semigroups for Linear Evolution Equations
- Topological fluid mechanics of stirring
- A bound on mixing efficiency for the advection–diffusion equation
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Material barriers to diffusive and stochastic transport
- Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
- Estimating long-term behavior of periodically driven flows without trajectory integration
- Optimal Mixing Enhancement
- Multiscale Methods
- Feasibility, efficiency and transportability of short-horizon optimal mixing protocols
- Representation of Bilinear Forms in Hilbert Space by Linear Operators
- Convex Analysis
- Analytic semigroups and optimal regularity in parabolic problems
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