Asymptotics of solutions for periodic problem for the Korteweg-de Vries equation with Landau damping, pumping and higher order convective non linearity

DOI10.1007/s44198-023-00131-7zbMath1529.35061OpenAlexW4385410563MaRDI QIDQ6180851

Rafael Carreño-Bolaños, Beatriz Juárez-Campos, Unnamed Author

Publication date: 22 January 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-023-00131-7

zbMATH Keywords

Korteweg-de Vries equationasymptotics of solutionsLandau dampingconvective nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

• Asymptotics of solutions to the periodic problem for a Burgers type equation
• On the Cauchy problem for higher-order nonlinear dispersive equations
• Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation
• Quelques généralisations de l'équation de Korteweg-de Vries. II
• KdV-Burgers equation modelling of turbulence
• Eugene B. Fabes (1937-1997)
• Well-posedness for KdV-type equations with quadratic nonlinearity
• Asymptotics for dissipative nonlinear equations
• Local Smoothing Properties of Dispersive Equations
• Higher-Order Nonlinear Dispersive Equations
• Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation
• Periodic problem for the nonlinear damped wave equation with convective nonlinearity
• Long Waves on Liquid Films
• A non-linear equation incorporating damping and dispersion
• One-Dimensional Flow of Liquids Containing Small Gas Bubbles

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