Models for Damped Water Waves
From MaRDI portal
Publication:5205882
DOI10.1137/19M1262899zbMath1431.35126arXiv1905.07751MaRDI QIDQ5205882
Rafael Granero-Belinchón, Stefano Scrobogna
Publication date: 17 December 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07751
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35) Waves for incompressible viscous fluids (76D33) Euler equations (35Q31)
Related Items
On the motion of gravity-capillary waves with odd viscosity, Global existence and decay rates of solutions to the viscous water-waves system, Interfaces in incompressible flows, On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media, Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium, Well-posedness of water wave model with viscous effects, Well-posedness of the water-wave with viscosity problem, Unnamed Item, Well-posedness of an asymptotic model for capillarity-driven free boundary Darcy flow in porous media in the critical Sobolev space, Gevrey regularity and finite time singularities for the Kakutani-Matsuuchi model
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness of a model for water waves with viscosity
- Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
- Numerical simulation of a weakly nonlinear model for water waves with viscosity
- 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
- Well-posedness and analyticity of solutions to a water wave problem with viscosity
- Rigorous asymptotic models of water waves
- Asymptotic models for free boundary flow in porous media
- A multiscale model for Rayleigh-Taylor and Richtmyer-Meshkov instabilities
- Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
- Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves
- Dissipative Boussinesq equations
- Viscous potential free-surface flows in a fluid layer of finite depth
- The modulational instability in deep water under the action of wind and dissipation
- Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Water waves over a random bottom
- Theory of weakly damped Stokes waves: a new formulation and its physical interpretation
- Nonlinear evolution of surface gravity waves over an uneven bottom
- Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries
- Nonlinear evolutions of surface gravity waves on fluid of finite depth
- The dissipation approximation and viscous potential flow
- On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media
- On ill-posedness of truncated series models for water waves
- Traveling Waves in Deep Water with Gravity and Surface Tension
- Dynamics of Three-Dimensional Gravity-Capillary Solitary Waves in Deep Water
- A note on stabilizing the Benjamin–Feir instability
- Purely irrotational theories of the effect of the viscosity on the decay of free gravity waves
- A Model for Rayleigh--Taylor Mixing and Interface Turnover
- Visco-potential flows in electrohydrodynamics
