Solvability of the initial value problem to the Isobe-Kakinuma model for water waves
type: Item
instance of: scholarly article
title: Solvability of the initial value problem to the Isobe-Kakinuma model for water waves
zbMATH Open document ID: 1458.76015
author: Ryo Nemoto
author: Tatsuo Iguchi
published in: Journal of Mathematical Fluid Mechanics
publication date: 2018-07-19T00:00:00Z
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6908404
zbMATH Keywords: approximate Luke's Lagrangian
zbMATH Keywords: generalized sign condition
zbMATH Keywords: Sobolev space
zbMATH Keywords: linear dispersion relation
MaRDI profile type: Publication
full work available at URL: s00021-017-0338-1
OpenAlex ID: W2620224715
cites work: Large time existence for 3D water waves and asymptotics
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cites work: A shallow water approximation for water waves over a moving bottom
cites work: A shallow water approximation for water waves
cites work: A mathematical analysis of tsunami generation in shallow water due to seabed deformation
cites work: Isobe-Kakinuma model for water waves as a higher order shallow water approximation
cites work: A shallow‐water approximation to the full water wave problem
cites work: Well-posedness of the water-waves equations
cites work: Q4924170
cites work: A variational principle for a fluid with a free surface
cites work: Solvability of the initial value problem to a model system for water waves
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 2D
cites work: Well-posedness in Sobolev spaces of the full water wave problem in 3-D
DOI: 10.1007/S00021-017-0338-1
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description: scientific article; zbMATH DE number 6908404