Exact azimuthal internal waves with an underlying current

DOI10.3934/dcds.2017188zbMath1360.76070OpenAlexW2608874290MaRDI QIDQ524613

Hung-Chu Hsu

Publication date: 3 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017188

zbMATH Keywords

exact solution\(\beta \)-planenonlinear geophysical internal wave

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Nonlinear effects in hydrodynamic stability (76E30) Internal waves for incompressible inviscid fluids (76B55)

Cites Work

• An exact solution for equatorial geophysical water waves with an underlying current
• Instability of equatorial water waves in the \(f\)-plane
• Free-surface capillary-gravity azimuthal equatorial flows
• The trajectories of particles in Stokes waves
• An exact solution for geophysical edge waves in the \(f\)-plane approximation
• Instability of internal equatorial water waves
• An exact solution for nonlinear internal equatorial waves in the \(f\)-plane approximation
• Some nonlinear internal equatorial waves with a strong underlying current
• Some nonlinear internal equatorial flows
• An exact solution for equatorial waves
• The trajectories of particles in deep-water Stokes waves
• Edge waves along a sloping beach
• Equatorially trapped nonlinear water waves in a -plane approximation with centripetal forces
• Pressure beneath a Stokes wave
• The dynamics of waves interacting with the Equatorial Undercurrent

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