EXISTENCE AND NUMERICAL APPROXIMATION OF SOLUTIONS OF AN IMPROVED INTERNAL WAVE MODEL

DOI10.3846/13926292.2014.924039zbMath1488.65499OpenAlexW2042342877MaRDI QIDQ5011184

Juan Carlos Muñoz Grajales

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2014.924039

zbMATH Keywords

error estimatesCauchy problemnumerical solutioninternal waves

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Internal waves for incompressible inviscid fluids (76B55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Liquid-liquid two component flows (76T06)

Related Items

Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type, Solitary waves for an internal wave model, On the existence of solitary waves for an internal system of the Benjamin-Ono type, Existence of periodic travelling wave solutions for a regularized Benjamin-Ono system

Cites Work

• Unnamed Item
• Asymptotic models for internal waves
• A reduced model for internal waves interacting with topography at intermediate depth
• On the Boussinesq/full dispersion systems and Boussinesq/Boussinesq systems for internal waves
• Spectral and finite difference solutions of the Burgers equations
• A numerical method for the Benjamin-Ono equation
• The spectral accuracy of a fully-discrete scheme for a nonlinear third order equation
• Algebraic Solitary Waves in Stratified Fluids
• A Higher-Order Internal Wave Model Accounting for Large Bathymetric Variations
• INFLUENCE OF SURFACE TENSION AND BOTTOM TOPOGRAPHY ON INTERNAL WAVES
• Spectral and Pseudo Spectral Methods for Advection Equations
• Weakly nonlinear internal waves in a two-fluid system
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Fully nonlinear internal waves in a two-fluid system
• Decay of solutions of a Boussinesq-type system with variable coefficients
• Improved Boussinesq-type equations for highly variable depth
• Internal waves of permanent form in fluids of great depth
• Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations