Asymptotic expansion of the solutions to a regularized Boussinesq system (theory and numerics)
DOI10.1007/s10440-024-00660-3zbMATH Open1542.35326MaRDI QIDQ6564751
Raafat Talhouk, Jean-Paul Chehab, Ahmad Safa, Hervé Le Meur
Publication date: 1 July 2024
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Cauchy problemnumerical stabilityenergy estimateBoussinesq systemnumerical expansionnumerical Fourier transform
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) 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) Theoretical approximation in context of PDEs (35A35) Numerical methods for discrete and fast Fourier transforms (65T50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order hyperbolic systems (35L56)
Cites Work
- Unnamed Item
- Unnamed Item
- Large time existence for 1D Green-Naghdi equations
- Regularity and uniqueness of solutions to the Boussinesq system of equations
- Partial differential equations. III: Nonlinear equations.
- Existence of solutions for the Boussinesq system of equations
- Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
- Theory of waves and eddies propagating along a horizontal rectangular channel, communicating to the liquid in the channel approximately the same velocities from surface to bottom.
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Comparison of solutions of Boussinesq systems
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
- The Boussinesq system revisited
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