Exact NSE solutions with crystallographic symmetries and no transfer of energy through the spectrum

DOI10.1016/j.geomphys.2004.10.003zbMath1159.35394OpenAlexW1965899322MaRDI QIDQ557176

Benno Fuchssteiner, Oleg I. Bogoyavlenskij

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.10.003

zbMATH Keywords

crystallographic groupsFourier modesBeltrami flowsSpace periodic Navier-Stokes equations solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Solutions to PDEs in closed form (35C05) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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Cites Work

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• Vorticity and Incompressible Flow
• AN ELEMENTARY PROOF OF THE EXISTENCE AND UNIQUENESS THEOREM FOR THE NAVIER–STOKES EQUATIONS
• Helical turbulence and absolute equilibrium
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