Decay of solutions to a linear viscous asymptotic model for water waves
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Publication:619646
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
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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