Three-dimensional long-wave instability of unidirectional spatially periodic viscous flows

DOI10.1017/S0022112096008129zbMath0883.76043OpenAlexW2105290895MaRDI QIDQ4354519

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Publication date: 17 September 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112096008129

zbMATH Keywords

asymptotic expansionswavevectorlong-wave oscillatory instability

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrodynamic stability (76E99) Waves for incompressible viscous fluids (76D33)

Cites Work

• Complex eddy-viscosity: a three-dimensional effect
• Weak turbulence in periodic flows
• On stability of secondary flows of a viscous fluid in unbounded space
• The theory of stability of spatially periodic parallel flows
• Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous liquid
• Effective equations and the inverse cascade theory for Kolmogorov flows
• Eddy viscosity of three-dimensional flow
• Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers

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