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Research article

First published 2015-6

The nonlinear 2D supercritical inviscid shallow water equations in a rectangle

Aimin Huang, Madalina Petcu, Roger Temam

Asymptotic Analysis

Open access

Research article

First published 2018-12

A solution method for one-dimensional shallow water equations using flux limiter centered scheme for open Venturi channels

Prasanna Welahettige, Knut Vaagsaether, Bernt Lie

The Journal of Computational Multiphase Flows

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Research article

First published 2016-9-7

Formal derivation and existence of global weak solutions of a two-dimensional bilayer model coupling shallow water and Reynolds lubrication equations

Brahima Roamba, Jean de Dieu Zabsonré, Sado Traoré

Asymptotic Analysis

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Research article

First published 2025

Derivation of the Nonlinear Shallow Water Equations Over Unsaturated Porous Media: A Discontinuous Galerkin Method for Coarse-Grained Beaches

Camille Poussel, Mehmet Ersoy, Frédéric Golay [...]

Asymptotic Analysis

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Research article

First published 2023-6-2

Vortex rigid motion in quasi-geostrophic shallow-water equations

Emeric Roulley

Asymptotic Analysis

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Research article

First published 2024-8

Shallow Water Equations on modeling resonant waves evolution in a rough varying-width basin

Ikha Magdalena, Nadhira Karima, Hany Q Rif’atin [...]

Proceedings of the Institution of Mechanical Engineers,Part M: Journal of Engineering for the Maritime Environment

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Research article

First published 2018-3

Stabilizing local boundary conditions for two-dimensional shallow water equations

Ben Mansour Dia, Jesper Oppelstrup

Advances in Mechanical Engineering

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Research article

First published 2019-7

Implementation of a scalable,performance portable shallow water equation solver using radial basis function-generated finite difference methods

Samuel Elliott, Raghu Raj Prasanna Kumar, Natasha Flyer [...]

The International Journal of High Performance Computing Applications

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Research article

First published 2005-8

From Navier–Stokes equations to shallow waters with viscosity by asymptotic analysis

José M. Rodríguez, Raquel Taboada-Vázquez

Asymptotic Analysis

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Research article

First published 2015-9

Derivation of a viscous Boussinesq system for surface water waves

Hervé V.J. Le Meur

Asymptotic Analysis

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