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)
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