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Breakdown of the shallow water equations due to growth of the horizontal vorticity

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Publication:2891739
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DOI10.1017/JFM.2011.175zbMath1241.76084OpenAlexW2008747019MaRDI QIDQ2891739

David John Needham, Thomas J. Bridges

Publication date: 15 June 2012

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

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/17369859/NeedhamS0022112011001753a.pdf


zbMATH Keywords

shallow water flowsnonlinear instabilitysurface gravity waves


Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)


Related Items (4)

Effect of depth discontinuity on interfacial stability of tangential-velocity discontinuity in shallow-water flow ⋮ Modelling turbulence generation in solitary waves on shear shallow water flows ⋮ Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in two dimensions ⋮ Effect of water depth on Kelvin–Helmholtz instability in a shallow water flow




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