An exact solution for geophysical edge waves in the \(f\)-plane approximation
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Publication:892272
DOI10.1016/j.nonrwa.2015.02.002zbMath1330.35458OpenAlexW2073829445MaRDI QIDQ892272
Publication date: 18 November 2015
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.02.002
Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10) Solutions to PDEs in closed form (35C05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86)
Related Items (33)
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Cites Work
- Unnamed Item
- Existence of solutions for a class of edge wave equations
- Lectures on wave propagation
- On the deep water wave motion
- On Edge Waves in Stratified Water Along a Sloping Beach
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- An exact solution for geophysical equatorial edge waves over a sloping beach
- Oblique wave incidence on a plane beach: the classical problem revisited
- Edge waves along a sloping beach
- Edge waves: theories past and present
- On Gerstner's Water Wave
- Note on edge waves in a stratified fluid
- An Explicit Solution for Deep Water Waves With Coriolis Effects
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