Continuation of time bounds for a regularized Boussinesq system

DOI10.1007/s10440-011-9647-1zbMath1258.35178OpenAlexW2076500483MaRDI QIDQ663442

Youcef Mammeri

Publication date: 15 February 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9647-1

zbMATH Keywords

normal formBoussinesq systemSobolev bounds

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Continuation and prolongation of solutions to PDEs (35B60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Weak and Strong Interactions between Internal Solitary Waves
• Normal forms and quadratic nonlinear Klein-Gordon equations
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
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