Optimal Mixing Enhancement by Local Perturbation
From MaRDI portal
Publication:3186102
DOI10.1137/15M1023221zbMath1360.37009OpenAlexW2483568213WikidataQ59139548 ScholiaQ59139548MaRDI QIDQ3186102
Cecilia González-Tokman, Thomas M. Watson, Gary Froyland
Publication date: 8 August 2016
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1023221
Ergodicity, mixing, rates of mixing (37A25) Turbulent transport, mixing (76F25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)
Related Items (11)
On the numerical approximation of the Perron-Frobenius and Koopman operator ⋮ Optimized Mixing by Cutting-and-Shuffling ⋮ Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps ⋮ Optimal Mixing Enhancement ⋮ Optimal perturbations for nonlinear systems using graph-based optimal transport ⋮ Optimal transport over nonlinear systems via infinitesimal generators on graphs ⋮ Optimal linear responses for Markov chains and stochastically perturbed dynamical systems ⋮ Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration ⋮ Variational approach for learning Markov processes from time series data ⋮ Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the mixing properties of piecewise expanding maps under composition with permutations
- 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
- Optimizing the source distribution in fluid mixing
- Coherent sets for nonautonomous dynamical systems
- Chaotic transport in dynamical systems
- Transport in two-dimensional maps
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- A multiscale measure for mixing
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Weak mixing in interval exchange transformations of periodic type
- Weak mixing for interval exchange transformations and translation flows
- On the mixing properties of piecewise expanding maps under composition with permutations, II: Maps of non-constant orientation
- Scalar Decay in Chaotic Mixing
- Using multiscale norms to quantify mixing and transport
- Optimal control of mixing in Stokes fluid flows
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- On the Approximation of Complicated Dynamical Behavior
- A bound on mixing efficiency for the advection–diffusion equation
- An efficient approach for eigenmode analysis of transient distributive mixing by the mapping method
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow
- Open-flow mixing: Experimental evidence for strange eigenmodes
- Feasibility, efficiency and transportability of short-horizon optimal mixing protocols
- Tracer microstructure in the large-eddy dominated regime
This page was built for publication: Optimal Mixing Enhancement by Local Perturbation
