A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography

DOI10.1007/s00021-018-0398-xzbMath1419.76087arXiv1803.09236OpenAlexW2794544569WikidataQ129247665 ScholiaQ129247665MaRDI QIDQ1756642

Tatsuo Iguchi

Publication date: 21 December 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09236

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items

Full justification for the extended Green-Naghdi system for an uneven bottom with/without surface tension ⋮ Modeling shallow water waves ⋮ A Hamiltonian structure of the Isobe-Kakinuma model for water waves ⋮ Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of the initial value problem to a model system for water waves
• Numerical simulation of gravity waves
• Solvability of the initial value problem to the Isobe-Kakinuma model for water waves
• A shallow water approximation for water waves
• Isobe-Kakinuma model for water waves as a higher order shallow water approximation
• Hamiltonian formulation of the extended Green-Naghdi equations
• Large time existence for 3D water waves and asymptotics
• A mathematical analysis of tsunami generation in shallow water due to seabed deformation
• Well-posedness of the water-waves equations
• Hamiltonian structure for two-dimensional extended Green–Naghdi equations
• A shallow‐water approximation to the full water wave problem
• A variational principle for a fluid with a free surface