A highly nonlinear shallow-water model Arising from the full water waves with the Coriolis effect
DOI10.1007/s00021-023-00785-9zbMath1514.35357MaRDI QIDQ6101926
No author found.
Publication date: 5 May 2023
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hamiltonian model for coupled surface and internal waves in the presence of currents
- A new highly nonlinear shallow water wave equation
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- On a shallow-water approximation to the Green-Naghdi equations with the Coriolis effect
- The initial value problem for a generalized Boussinesq equation.
- Stability of the Camassa-Holm solitons
- Well-posedness and wave breaking for a shallow water wave model with large amplitude
- Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect
- The shallow-water models with cubic nonlinearity
- Well-posedness of a highly nonlinear shallow water equation on the circle
- A nonlocal shallow-water model with the weak Coriolis and equatorial undercurrent effects
- On the modelling of shallow-water waves with the Coriolis effect
- Variational derivation of a geophysical Camassa-Holm type shallow water equation
- A nonlocal shallow-water model arising from the full water waves with the Coriolis effect
- Commutator estimates and the euler and navier-stokes equations
- A Modern Introduction to the Mathematical Theory of Water Waves
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Shallow water equations for equatorial tsunami waves
- Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude
- The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
- On the Non-Dimensionalisation, Scaling and Resulting Interpretation of the Classical Governing Equations for Water Waves
- The dynamics of waves interacting with the Equatorial Undercurrent
- Equatorial wave-current interactions
