On the non-uniqueness of nonlinear wave solutions in a viscous layer

DOI10.1016/0021-8928(84)90023-6zbMath0575.76042OpenAlexW2065238351MaRDI QIDQ1064209

A. V. Bunov, Victor Ya. Shkadov, Evgeny A. Demekhin

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90023-6

zbMATH Keywords

bifurcationneutral stability curvedraining layers of a viscous fluidlinear asymptotic formsnegative solitonone-parameter family of wavespositive solitonstationary travelling wave

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (7)

Dominating wave regimes in a two-layer film flowing down a vertical wall ⋮ Nonlinear waves in a liquid film on a near-horizontal surface ⋮ Two-periodical and quasi-periodical wave solutions of the Kuramoto- Sivashinsky equation and their stability and bifurcations ⋮ Evolution scales for wave regimes in liquid film flow over a spinning disk ⋮ Integral boundary layer relations in the theory of wave flows for capillary liquid films ⋮ Development of dominating waves from small disturbances in falling viscous-fluid films ⋮ Numerical bifurcation analysis of the travelling waves on a falling liquid film

Cites Work

• Three-dimensional waves in a liquid flowing down a wall
• Long Waves on Liquid Films
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