On the propagation of equatorial waves interacting with a non-uniform current

DOI10.46298/ocnmp.8631zbMATH Open1541.35388MaRDI QIDQ6579360

Emil Novruzov

Publication date: 25 July 2024

Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian formulationwave-current interactions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Cites Work

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• Local stability for an exact steady purely azimuthal equatorial flow
• On equatorial wave-current interactions
• On propagation of linear waves for model of equatorial wave-current interactions
• A Hamiltonian formulation of water waves with constant vorticity
• Global bifurcation of steady gravity water waves with critical layers
• Hamiltonian formulation for wave-current interactions in stratified rotational flows
• Mathematical aspects of surface water waves
• Frictional effects in wind-driven ocean currents
• Hamiltonian long‐wave expansions for free surfaces and interfaces
• The dynamics of waves interacting with the Equatorial Undercurrent
• Equatorial wave-current interactions

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