Large-time existence for one-dimensional Green-Naghdi equations with vorticity
From MaRDI portal
Publication:2063984
DOI10.3934/dcdss.2021040OpenAlexW3159481405MaRDI QIDQ2063984
Colette Guillopé, Samer Israwi, Raafat Talhouk
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021040
existence of solutionssurface tensionrotational flowwave-current interactionsrip-currentsshallow water Green-Naghdi equations
Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
- Large time existence for 1D Green-Naghdi equations
- A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model
- A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations
- Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators
- Approximate conservation laws in the KdV equation
- A shallow water approximation for water waves
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Partial differential equations. III: Nonlinear equations.
- Sur les ondes de surface de l'eau avec une justification mathématique des équations des ondes en eau peu profonde
- A numerical scheme for the Green-Naghdi model
- Large time existence for 3D water waves and asymptotics
- Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
- A New Class of Two-Layer Green-Naghdi Systems with Improved Frequency Dispersion
- Well-Posedness and shallow-water stability for a new Hamiltonian formulation of the water waves equations with vorticity
- Fully nonlinear long-wave models in the presence of vorticity
- Commutator estimates and the euler and navier-stokes equations
- On the theory of water waves
- A derivation of equations for wave propagation in water of variable depth
- Well-posedness of the Green–Naghdi and Boussinesq–Peregrine systems
- A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves
- A New Fully Justified Asymptotic Model for the Propagation of Internal Waves in the Camassa--Holm Regime
- Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
- A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
- A shallow‐water approximation to the full water wave problem