Convergence of semi-discrete approximations of Benney equations

DOI10.1016/J.CRMA.2009.08.002zbMath1176.76014OpenAlexW2012994209MaRDI QIDQ1032837

Paulo Amorim, M. S. Figueira

Publication date: 5 November 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.08.002

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (3)

CONVERGENCE OF NUMERICAL SCHEMES FOR SHORT WAVE LONG WAVE INTERACTION EQUATIONS ⋮ The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system ⋮ A nonlinear model describing a short wave–long wave interaction in a viscoelastic medium

Cites Work

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• Vanishing viscosity with short wave-long wave interactions for systems of conservation laws
• Convergence of approximate solutions to conservation laws
• Interaction equations for short and long dispersive waves
• Dispersive properties of a viscous numerical scheme for the Schrödinger equation
• CONVERGENCE OF NUMERICAL SCHEMES FOR SHORT WAVE LONG WAVE INTERACTION EQUATIONS
• A General Theory for Interactions Between Short and Long Waves
• Well-posedness of the cauchy problem for the long wave-short wave resonance equations

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