Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions

DOI10.1073/pnas.0700084104zbMath1155.76036arXivmath/0610255OpenAlexW2105061081WikidataQ35800227 ScholiaQ35800227MaRDI QIDQ5385916

Panagiotis Stinis, Ole Hansen Hald

Publication date: 7 May 2008

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610255

zbMATH Keywords

dimensional reductionfinite time singularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Turbulence (76F99)

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Cites Work

• Optimal prediction with memory
• Prediction of turbulent separation over a backward-facing smooth ramp
• The energy decay in self-preserving isotropic turbulence revisited
• Optimal prediction and the Mori–Zwanzig representation of irreversible processes
• Renormalization-Group Analysis of Turbulence
• Optimal LES formulations for isotropic turbulence
• Optimal Prediction of Burgers’s Equation