An integro-differential equation for surface ocean waves with finite depth

DOI10.1016/J.NA.2011.04.029zbMath1381.45034OpenAlexW1989358610WikidataQ115343027 ScholiaQ115343027MaRDI QIDQ548637

Maomao Cai, Dening Li

Publication date: 29 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.029

zbMATH Keywords

integro-differential equationssurface ocean wave

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• A boundary-integral method for the interaction of large-amplitude ocean waves with a compliant floating raft such as a sea-ice floe
• Dynamics and Modelling of Ocean Waves
• Wave scattering by narrow cracks in ice sheets floating on water of finite depth
• Higher–order hydrodynamic modulation: theory and applications for ocean waves
• An Introduction to Partial Differential Equations
• Ocean waves and ice sheets
• Mathematical modelling of long ocean waves with a discontinuous density gradient

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