A geometry of the correlation space and a nonlocal degenerate parabolic equation from isotropic turbulence

DOI10.1002/zamm.201100021zbMath1387.76035OpenAlexW2051523647MaRDI QIDQ2892968

Martin Oberlack, Vladimir N. Grebenev

Publication date: 25 June 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100021

zbMATH Keywords

asymptotic behaviorinitial-boundary value problemsolvabilityLagrangianvon kármán-howarth equationtwo-point correlation tensor

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Isotropic turbulence; homogeneous turbulence (76F05)

Related Items (4)

Infinite dimensional Lie algebra associated with conformal transformations of the two-point velocity correlation tensor from isotropic turbulence ⋮ Geometry of two-point velocity correlation tensor of homogeneous isotropic turbulence with helicity in sol-manifold coordinates ⋮ Homogeneous Isotropic Turbulence: Geometric and Isometry Properties of the 2-point Velocity Correlation Tensor ⋮ The extended symmetry Lie algebra and the asymptotic expansion of the transversal correlation function for the isotropic turbulence

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