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physics.flu-dyn2021★ 14 cited
Data Driven Learning of Mori-Zwanzig Operators for Isotropic Turbulence
Yifeng Tian, Yen Ting Lin, Marian Anghel +1
Developing reduced-order models for turbulent flows, which contain dynamics over a wide range of scales, is an extremely challenging problem. In statistical mechanics, the Mori-Zwa…
cond-mat.stat-mech2021
Data-driven learning for the Mori-Zwanzig formalism: a generalization of the Koopman learning framework
Yen Ting Lin, Yifeng Tian, Marian Anghel +1
A theoretical framework which unifies the conventional Mori-Zwanzig formalism and the approximate Koopman learning is presented. In this framework, the Mori-Zwanzig formalism, deve…