Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows

DOI10.1007/s00332-018-9462-1zbMath1403.76021OpenAlexW2800158400WikidataQ129948035 ScholiaQ129948035MaRDI QIDQ1631293

Andrew J. Majda, Di Qi

Publication date: 6 December 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-018-9462-1

zbMATH Keywords

statistical energy conservationstatistical stability analysistopographic barotropic equations

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Nonlinear effects in hydrodynamic stability (76E30) Geostatistics (86A32) Numerical nonlinear stabilities in dynamical systems (65P40) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (2)

Predicting observed and hidden extreme events in complex nonlinear dynamical systems with partial observations and short training time series ⋮ Linear and nonlinear statistical response theories with prototype applications to sensitivity analysis and statistical control of complex turbulent dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• An introduction to turbulent dynamical systems in complex systems
• Ergodicity of truncated stochastic Navier Stokes with deterministic forcing and dispersion
• An ensemble Kalman filter for statistical estimation of physics constrained nonlinear regression models
• Low-dimensional reduced-order models for statistical response and uncertainty quantification: barotropic turbulence with topography
• Structural stability theory of two-dimensional fluid flow under stochastic forcing
• Stability properties of exact nonzonal solutions for flow over topography
• Nonlinear stability and statistical mechanics of flow over topography
• Rigorous bounds on the nonlinear saturation of instabilities to parallel shear flows
• Strategies for Reduced-Order Models for Predicting the Statistical Responses and Uncertainty Quantification in Complex Turbulent Dynamical Systems
• QUANTIFYING PREDICTABILITY IN A SIMPLE MODEL WITH COMPLEX FEATURES
• Quantifying predictability in a model with statistical features of the atmosphere
• Turbulence in fluids.
• Improving prediction skill of imperfect turbulent models through statistical response and information theory

This page was built for publication: Rigorous statistical bounds in uncertainty quantification for one-layer turbulent geophysical flows