Solvability of the initial value problem to the Isobe-Kakinuma model for water waves

DOI10.1007/s00021-017-0338-1zbMath1458.76015OpenAlexW2620224715MaRDI QIDQ721408

Tatsuo Iguchi, Ryo Nemoto

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1007/s00021-017-0338-1

zbMATH Keywords

Sobolev spaceapproximate Luke's Lagrangiangeneralized sign conditionlinear dispersion relation

Mathematics Subject Classification ID

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

Related Items

Modeling shallow water waves ⋮ A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography ⋮ A Hamiltonian structure of the Isobe-Kakinuma model for water waves

Cites Work

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