Compatible differential constraints to an infinite chain of transport equations for cumulants

DOI10.1016/j.cnsns.2005.03.003zbMath1102.76028OpenAlexW1980177644MaRDI QIDQ857009

Vladimir N. Grebenev, Martin Oberlack

Publication date: 14 December 2006

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.03.003

zbMATH Keywords

self-similar solutioninvariant manifold

Mathematics Subject Classification ID

Turbulent transport, mixing (76F25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On the symmetries of evolution equations
• Numerical models of jet flows of a viscous incompressible fluid
• Shear-free turbulent diffusion—classical and new scaling laws
• The Use of Differential Constraints for Analyzing Turbulence Models
• Invariant Sets and Explicit Solutions to a Third-Order Model for the Shearless Stratified Turbulent Flow
• Towards a Theory of Differential Constraints of a Hydrodynamic Hierarchy
• B-determining equations: applications to nonlinear partial differential equations
• A Reynolds stress model of turbulence and its application to thin shear flows
• Energy-dependent potentials revisited: a universal hierarchy of hydrodynamic type
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