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2210.16708
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Data-driven low-dimensional dynamic model of Kolmogorov flow

v1v2 (latest)

Data-driven low-dimensional dynamic model of Kolmogorov flow

Physical Review Fluids (PRFluids), 2022

29 October 2022

Carlos E. Pérez De Jesús

ArXiv (abs)PDF HTML

Papers citing "Data-driven low-dimensional dynamic model of Kolmogorov flow"

8 / 8 papers shown

Blending data and physics for reduced-order modeling of systems with spatiotemporal chaotic dynamics

Blending data and physics for reduced-order modeling of systems with spatiotemporal chaotic dynamics

Michael D. Graham

222

0

0

21 Jul 2025

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictionsChaos (Chaos), 2024

C. Ricardo Constante-Amores

Michael D. Graham

383

5

0

20 Nov 2024

Data-driven low-dimensional model of a sedimenting flexible fiber

Data-driven low-dimensional model of a sedimenting flexible fiberPhysical Review Fluids (Phys. Rev. Fluids), 2024

Michael D. Graham

229

4

0

16 May 2024

Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow

Building symmetries into data-driven manifold dynamics models for complex flows: application to two-dimensional Kolmogorov flow

Carlos E. Pérez De Jesús

Michael D. Graham

323

3

0

15 Dec 2023

Nonlinear dimensionality reduction then and now: AIMs for dissipative
PDEs in the ML era

Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era

Cristina P. Martin-Linares

Ioannis G. Kevrekidis

205

14

0

24 Oct 2023

Grasping Extreme Aerodynamics on a Low-Dimensional Manifold

Grasping Extreme Aerodynamics on a Low-Dimensional ManifoldNature Communications (Nat. Commun.), 2023

233

95

0

13 May 2023

Autoencoders for discovering manifold dimension and coordinates in data
from complex dynamical systems

Autoencoders for discovering manifold dimension and coordinates in data from complex dynamical systems

Carlos E. Pérez De Jesús

343

27

0

01 May 2023

Dynamics of a data-driven low-dimensional model of turbulent minimal
Couette flow

Dynamics of a data-driven low-dimensional model of turbulent minimal Couette flowJournal of Fluid Mechanics (JFM), 2023

175

33

0

11 Jan 2023

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