Well-posedness of the Cauchy problem for models of large amplitude internal waves
From MaRDI portal
Publication:3408262
DOI10.1088/0951-7715/23/2/003zbMath1191.35166OpenAlexW2151017545MaRDI QIDQ3408262
David Lannes, Philippe Guyenne, Jean Claude Saut
Publication date: 25 February 2010
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/23/2/003
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Internal waves for incompressible inviscid fluids (76B55) Initial value problems for first-order hyperbolic systems (35L45)
Related Items
The Stability of Large-Amplitude Shallow Interfacial Non-Boussinesq Flows ⋮ Medium amplitude model for internal waves over large topography variation ⋮ A high-order spectral method for nonlinear water waves in the presence of a linear shear current ⋮ A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves ⋮ Kelvin-Helmholtz instability with a free surface ⋮ Shallow water asymptotic models for the propagation of internal waves ⋮ Well-balanced numerical resolution of the two-layer shallow water equations under rigid-lid with wet-dry fronts ⋮ A New Class of Two-Layer Green-Naghdi Systems with Improved Frequency Dispersion ⋮ A stability criterion for two-fluid interfaces and applications ⋮ On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast ⋮ HOS Simulations of Nonlinear Water Waves in Complex Media ⋮ Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations ⋮ Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. I: Approximations ⋮ The water wave problem and Hamiltonian transformation theory ⋮ Envelope Equations for Three-Dimensional Gravity and Flexural-Gravity Waves Based on a Hamiltonian Approach ⋮ The Kelvin-Helmholtz Instabilities in Two-Fluids Shallow Water Models ⋮ An improved result for the full justification of asymptotic models for the propagation of internal waves ⋮ The multilayer shallow water system in the limit of small density contrast ⋮ Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids ⋮ A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model
This page was built for publication: Well-posedness of the Cauchy problem for models of large amplitude internal waves
