Decay of solutions to a linear viscous asymptotic model for water waves

DOI10.1007/s11401-010-0615-2zbMath1205.35224OpenAlexW4299915777MaRDI QIDQ619646

Guillaume Warnault, Olivier Goubet

Publication date: 25 January 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0615-2

zbMATH Keywords

long-time asymptoticswater wavesnonlocal operatorsviscous asymptotic models

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Finite difference/spectral approximations to a water wave model with a nonlocal viscous term ⋮ Theoretical and numerical analysis of the decay rate of solutions to a water wave model with a nonlocal viscous dispersive term with Riemann-Liouville half derivative ⋮ Visco-potential flows in electrohydrodynamics

Cites Work

• Decay of solutions of some nonlinear wave equations
• Visco-potential free-surface flows and long wave modelling
• Decay of solutions to a water wave model with a nonlocal viscous dispersive term
• Long-time asymptotic behavior of two-dimensional dissipative Boussinesq systems
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
• Asymptotics for dissipative nonlinear equations
• Viscous potential free-surface flows in a fluid layer of finite depth
• Effect of Viscosity on Long Gravity Waves
• Large time decay and growth for solutions of a viscous Boussinesq system
• Global Well-Posedness for Dissipative Korteweg-de Vries Equations
• Viscous effects on transient long-wave propagation
• Introduction to nonlinear dispersive equations

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