Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
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Publication:2228819
DOI10.1016/j.matcom.2013.12.008OpenAlexW2127275231MaRDI QIDQ2228819
Publication date: 19 February 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.5958
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Cites Work
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- Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
- Practical use of variational principles for modeling water waves
- Group and phase velocities in the free-surface visco-potential flow: new kind of boundary layer induced instability
- Numerical simulation of gravity waves
- Visco-potential free-surface flows and long wave modelling
- Linear theory of wave generation by a moving bottom
- Decay of solutions to a water wave model with a nonlocal viscous dispersive term
- Effect of bottom friction on the dynamics of gravity perturbations
- Hamiltonian long-wave approximations to the water-wave problem
- An efficient model for three-dimensional surface wave simulations. I: Free space problems
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Numerical study of a family of dissipative KdV equations
- Damping of large-amplitude solitary waves
- Dissipative Boussinesq equations
- Viscous potential free-surface flows in a fluid layer of finite depth
- Effect of Viscosity on Long Gravity Waves
- Energy dissipation in two-dimensional unsteady plunging breakers and an eddy viscosity model
- Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves
- Numerical simulation of droplets, bubbles and waves: state of the art
- Boundary layer flow and bed shear stress under a solitary wave
- An evaluation of a model equation for water waves
- Nonlinear modulation of gravity waves: a rigorous approach
- A model for the two-way propagation of water waves in a channel
- Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
- Viscous effects on transient long-wave propagation
- Well-posedness of the water-waves equations
- Water waves generated by a moving bottom
- Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
- Numerical simulation of viscous, nonlinear and progressive water waves
- Hamiltonian long–wave expansions for water waves over a rough bottom
- Potential flow of viscous fluids: Historical notes
- The numerical computation of freely propagating time-dependent irrotational water waves
- A note on stabilizing the Benjamin–Feir instability
- Variational statement of the problem of liquid motion in a container of finite dimensions
- A variational principle for a fluid with a free surface
- Long waves on a beach
- Model equations for long waves in nonlinear dispersive systems
- T<scp>HE</scp> O<scp>RIGINS OF</scp> W<scp>ATER</scp> W<scp>AVE</scp> T<scp>HEORY</scp>
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves