The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories

DOI10.1016/j.compfluid.2016.07.005zbMath1390.34184OpenAlexW2516984028MaRDI QIDQ1648276

Honghu Liu, Mickaël D. Chekroun, James C. McWilliams

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2016.07.005

zbMATH Keywords

balance equationsslow manifoldsparameterizing manifoldsemergence of fast oscillationsslow conditional expectations

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Normal Mode Functions and Initialization ⋮ Transitions of zonal flows in a two-layer quasi-geostrophic ocean model ⋮ Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator ⋮ Variational approach to closure of nonlinear dynamical systems: autonomous case ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory ⋮ On dynamically unresolved oceanic mesoscale motions ⋮ Transitions in stochastic non-equilibrium systems: efficient reduction and analysis

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