Well-posedness of water wave model with viscous effects
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Publication:5130862
DOI10.1090/proc/15219zbMath1450.35215arXiv1911.01912OpenAlexW3036671924MaRDI QIDQ5130862
Rafael Granero-Belinchón, Stefano Scrobogna
Publication date: 29 October 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.01912
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Higher-order hyperbolic equations (35L25) Euler equations (35Q31)
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Cites Work
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- 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
- Numerical simulation of gravity waves
- Visco-potential free-surface flows and long wave modelling
- Well-posedness of the Muskat problem with \(H^2\) initial data
- Well-posedness and analyticity of solutions to a water wave problem with viscosity
- Rigorous asymptotic models of water waves
- Well-posedness of the water-wave with viscosity problem
- Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
- Dissipative Boussinesq equations
- Viscous potential free-surface flows in a fluid layer of finite depth
- The Kato-Ponce Inequality
- Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves
- On the decay properties of solutions to a class of Schrödinger equations
- Commutator estimates and the euler and navier-stokes equations
- Theory of weakly damped Stokes waves: a new formulation and its physical interpretation
- Nonlinear evolution of surface gravity waves over an uneven bottom
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- 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
- Models for Damped 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