Estimating long-term behavior of periodically driven flows without trajectory integration
From MaRDI portal
Publication:5268501
DOI10.1088/1361-6544/aa6693zbMath1380.37143arXiv1511.07272OpenAlexW2283941925WikidataQ59139543 ScholiaQ59139543MaRDI QIDQ5268501
Publication date: 20 June 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.07272
Ordinary differential equations and systems with randomness (34F05) Transition functions, generators and resolvents (60J35) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Groups and semigroups of linear operators, their generalizations and applications (47D99)
Related Items (16)
From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data ⋮ Optimal Mixing Enhancement ⋮ Detecting the birth and death of finite‐time coherent sets ⋮ A geometric heat-flow theory of Lagrangian coherent structures ⋮ Invariant Sets in Quasiperiodically Forced Dynamical Systems ⋮ A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty ⋮ Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9--15, 2021 (hybrid meeting) ⋮ Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification ⋮ Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection ⋮ Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis ⋮ Stochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady Flows ⋮ Computing coherent sets using the Fokker-Planck equation ⋮ Diffusion maps tailored to arbitrary non-degenerate Itô processes ⋮ Stochastic approaches to Lagrangian coherent structures ⋮ Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration ⋮ Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Evolution operators and strong solutions of abstract linear parabolic equations
- Dual semigroups and second order linear elliptic boundary value problems
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- Coherent sets for nonautonomous dynamical systems
- Finite time transport in aperiodic flows
- Semigroups of linear operators and applications to partial differential equations
- Maximal space regularity for abstract linear non-autonomous parabolic equations
- Transport in Hamiltonian systems
- A unified approach to abstract linear nonautonomous parabolic equations
- Equations d'évolution abstraites non linéaires de type parabolique
- Chaotic transport in dynamical systems
- Higher-order implicit strong numerical schemes for stochastic differential equations
- On the evolution operator for a class of non-autonomous abstract parabolic equations
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Rates of convergence for everywhere-positive Markov chains
- Phase transitions and metastability in Markovian and molecular systems
- Transport in two-dimensional maps
- Geodesic theory of transport barriers in two-dimensional flows
- Escape rates and Perron-Frobenius operators: open and closed dynamical systems
- Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools
- Stationary scattering theory for time-dependent Hamiltonians
- 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
- THE DYNAMICAL SYSTEMS APPROACH TO LAGRANGIAN TRANSPORT IN OCEANIC 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
- Finite Volume Methods for Hyperbolic Problems
- Metastability of Diffusion Processes
- Sufficient conditions for exponential stability and dichotomy of evolution equations
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Invariant-tori-like Lagrangian coherent structures in geophysical flows
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
- Eigenmode analysis of scalar transport in distributive mixing
- Escape rates and conditionally invariant measures
- Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
- Lagrangian Transport Through Surfaces in Volume-Preserving Flows
- Analytic semigroups and optimal regularity in parabolic problems
- Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
- Non-autonomous Miyadera perturbations
- Stochastic differential equations. An introduction with applications.
This page was built for publication: Estimating long-term behavior of periodically driven flows without trajectory integration
