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Literature DB >> 29229799

Shallow water equations for equatorial tsunami waves.

Abstract

We present derivations of shallow water model equations of Korteweg-de Vries and Boussinesq type for equatorial tsunami waves in the f-plane approximation and discuss their applicability.This article is part of the theme issue 'Nonlinear water waves'.

Entities: Chemical

Keywords: -plane approximation; equatorial shallow water equations; tsunami modelling

Year: 2018 PMID： 29229799 PMCID： PMC5740296 DOI： 10.1098/rsta.2017.0100

Source DB: PubMed Journal: Philos Trans A Math Phys Eng Sci ISSN： 1364-503X Impact factor: 4.226

6 in total

1. On the open sea propagation of water waves generated by a moving bed.

Authors: Adrian Constantin; Pierre Germain
Journal: Philos Trans A Math Phys Eng Sci Date: 2012-04-13 Impact factor: 4.226

Review 2. On three-dimensional Gerstner-like equatorial water waves.

Authors: D Henry
Journal: Philos Trans A Math Phys Eng Sci Date: 2018-01-28 Impact factor: 4.226

3. On periodic geophysical water flows with discontinuous vorticity in the equatorial f-plane approximation.

Authors: Calin Iulian Martin
Journal: Philos Trans A Math Phys Eng Sci Date: 2018-01-28 Impact factor: 4.226

Review 4. On the short-wavelength stabilities of some geophysical flows.

Authors: Delia Ionescu-Kruse
Journal: Philos Trans A Math Phys Eng Sci Date: 2018-01-28 Impact factor: 4.226

5. Seismically generated tsunamis.

Authors: Diego Arcas; Harvey Segur
Journal: Philos Trans A Math Phys Eng Sci Date: 2012-04-13 Impact factor: 4.226

6. Instability of some equatorially trapped waves.

Authors: Adrian Constantin; Pierre Germain
Journal: J Geophys Res Oceans Date: 2013-06-10 Impact factor: 3.405

6 in total

2 in total

Review 1. Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom.

Authors: A Compelli; R Ivanov; M Todorov
Journal: Philos Trans A Math Phys Eng Sci Date: 2018-01-28 Impact factor: 4.226

2. Nonlinear water waves: introduction and overview.

Authors: A Constantin
Journal: Philos Trans A Math Phys Eng Sci Date: 2018-01-28 Impact factor: 4.226

2 in total