Nonlinear wave interactions in shear flows. Part 1. A variational formulation

DOI10.1017/S0022112074000152zbMath0287.76038OpenAlexW1971598492MaRDI QIDQ4775653

J. R. Usher, Alex D. D. Craik

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1017/s0022112074000152

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30) Navier-Stokes equations (35Q30)

Related Items (5)

The Clebsch potential approach to fluid Lagrangians ⋮ On the resonant triad interaction in flows over rigid and flexible boundaries ⋮ Nonlinear three-wave interaction with non-conservative coupling ⋮ Traveling Waves in Two-Dimensional Plane Poiseuille Flow ⋮ A variational principle for the stream function-vorticity formulation of the Navier-Stokes equations incorporating no-slip conditions

Cites Work

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• On the dynamics of unsteady gravity waves of finite amplitude Part 1. The elementary interactions
• Resonant interactions among capillary-gravity waves
• The Propagation of Nonlinear Wave Envelopes
• Resonant gravity-wave interactions in a shear flow
• A non-linear instability theory for a wave system in plane Poiseuille flow
• Non-linear resonant instability in boundary layers
• Non-linear wave-number interaction in near-critical two-dimensional flows
• A nonlinear instability burst in plane parallel flow
• Existence of Variational Principles for the Navier-Stokes Equation
• The propagation of a weak nonlinear wave

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