Geometry of two-point velocity correlation tensor of homogeneous isotropic turbulence with helicity in sol-manifold coordinates

DOI10.1063/1.5048802zbMath1402.76053OpenAlexW2896478080WikidataQ125799942 ScholiaQ125799942MaRDI QIDQ4556649

Rohollah Bakhshandeh-Chamazkoti, Martin Oberlack

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5048802

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Isotropic turbulence; homogeneous turbulence (76F05) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

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• Spectra of Sol-manifolds: Arithmetic and quantum monodromy
• Integrable geodesic flows with positive topological entropy
• The reflection-antisymmetric counterpart of the Kármán-Howarth dynamical equation
• A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence
• Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence