Nonlinear evolution of small disturbances into roll waves in an inclined open channel

DOI10.1017/S0022112092002830zbMath0755.76031OpenAlexW2128927332MaRDI QIDQ4021188

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Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1017/s0022112092002830

zbMATH Keywords

small parameterCauchy problemintegral-partial differential equationmulti-scale expansionquasi-steady solution

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

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Cites Work

• Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation
• Turbulent and inertial roll waves in inclined film flow
• Long waves on a thin fluid layer flowing down an inclined plane