Detecting the birth and death of finite‐time coherent sets
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Publication:6082685
DOI10.1002/cpa.22115zbMath1530.37105arXiv2103.16286OpenAlexW3146934505MaRDI QIDQ6082685
Publication date: 30 October 2023
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.16286
Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10) Visualization algorithms applied to problems in fluid mechanics (76M27) Approximation methods and numerical treatment of dynamical systems (37M99)
Cites Work
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- Geometry of the ergodic quotient reveals coherent structures in flows
- Computing coherent sets using the Fokker-Planck equation
- Coherent sets for nonautonomous dynamical systems
- Finite time transport in aperiodic flows
- Transport in Hamiltonian systems
- Advection-diffusion in Lagrangian coordinates
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds
- A geometric heat-flow theory of Lagrangian coherent structures
- A tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systems
- 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
- Spectral theory in Riemannian geometry
- Partitions of networks that are robust to vertex permutation dynamics
- Normal and integral currents
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- Coherent Lagrangian vortices: the black holes of turbulence
- Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting
- Dynamic isoperimetry and the geometry of Lagrangian coherent structures
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Scalar transport and alpha-effect for a family of cat's-eye flows
- On the Averaging Method in Nearly Time-Periodic Advection-Diffusion Problems
- Robust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete Trajectories
- Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration
- Linear response for the dynamic Laplacian and finite-time coherent sets
- Heat-content and diffusive leakage from material sets in the low-diffusivity limit *
- Stochastic Processes and Applications
- 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
- Multiscale Methods
