Variational derivation of a geophysical Camassa-Holm type shallow water equation
From MaRDI portal
Publication:2396849
DOI10.1016/j.na.2017.02.023zbMath1387.86015OpenAlexW2598333230MaRDI QIDQ2396849
Publication date: 26 May 2017
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.2017.02.023
Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with geophysics (35Q86)
Related Items (7)
A nonlocal shallow-water model arising from the full water waves with the Coriolis effect ⋮ Shallow water equations for equatorial tsunami waves ⋮ Persistence property and analyticity for a shallow-water model with the Coriolis effect in weighted spaces ⋮ On a shallow-water model with the Coriolis effect ⋮ A nonlocal shallow-water model with the weak Coriolis and equatorial undercurrent effects ⋮ A highly nonlinear shallow-water model Arising from the full water waves with the Coriolis effect ⋮ On the geophysical Green-Naghdi system
Cites Work
- Hamiltonian model for coupled surface and internal waves in the presence of currents
- Periodic equatorial water flows from a Hamiltonian perspective
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Global conservative solutions of the Camassa-Holm equation
- On the inverse spectral problem for the Camassa-Holm equation
- Acoustic scattering and the extended Korteweg-de Vries hierarchy
- Wave breaking for nonlinear nonlocal shallow water equations
- Algebro-geometric solutions of the Camassa-Holm hierarchy
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Hamiltonian formulation for wave-current interactions in stratified rotational flows
- On the scattering problem for the Camassa-Holm equation
- Inverse scattering transform for the Camassa–Holm equation
- A Hamiltonian approach to wave-current interactions in two-layer fluids
- Variational derivation of the Camassa-Holm shallow water equation
- A shallow water equation on the circle
- A Modern Introduction to the Mathematical Theory of Water Waves
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Equations of Camassa‐Holm type and Jacobi ellipsoidal coordinates
- Hamiltonian long‐wave expansions for free surfaces and interfaces
- The dynamics of waves interacting with the Equatorial Undercurrent
This page was built for publication: Variational derivation of a geophysical Camassa-Holm type shallow water equation