The long-wave approximation for the Green-Naghdi system with the weak Coriolis effect
DOI10.1007/s00021-022-00734-yzbMath1501.35299OpenAlexW4294733041WikidataQ114232058 ScholiaQ114232058MaRDI QIDQ2171715
Publication date: 9 September 2022
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-022-00734-y
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Euler equations (35Q31) Geophysical flows (76U60)
Cites Work
- Unnamed Item
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- On the long-wave approximation for the Euler-Poisson system
- Sharp well-posedness results for the BBM equation
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
- Long wave asymptotics for the Euler-Korteweg system
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
- Large time existence for 3D water waves and asymptotics
- The long-wave limit for the water wave problem I. The case of zero surface tension
- DECOUPLED AND UNIDIRECTIONAL ASYMPTOTIC MODELS FOR THE PROPAGATION OF INTERNAL WAVES
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- Commutator estimates and the euler and navier-stokes equations
- A derivation of equations for wave propagation in water of variable depth
- The Long Wave Limit for a Boussinesq Equation
- Well-posedness of the Green–Naghdi and Boussinesq–Peregrine systems
- Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
- A shallow‐water approximation to the full water wave problem
- Model equations for long waves in nonlinear dispersive systems
- The dynamics of waves interacting with the Equatorial Undercurrent
- Equatorial wave-current interactions
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