Isobe-Kakinuma model for water waves as a higher order shallow water approximation
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Publication:1746186
DOI10.1016/j.jde.2018.03.019zbMath1390.35272arXiv1704.02419OpenAlexW2620487868MaRDI QIDQ1746186
Publication date: 24 April 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02419
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Cauchy theory for the water waves system in an analytic framework ⋮ Full justification for the extended Green-Naghdi system for an uneven bottom with/without surface tension ⋮ Modeling shallow water waves ⋮ A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography ⋮ Solvability of the initial value problem to the Isobe-Kakinuma model for 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
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