The one-dimensional shallow water equations with transparent boundary conditions

DOI10.1002/mma.1482zbMath1277.35241OpenAlexW2144515539MaRDI QIDQ2857533

Madalina Petcu, Roger M. Temam

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1482

zbMATH Keywords

nonlinear boundary conditionslocal in time well-posednessstrictly dissipative boundary conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (8)

Multilevel finite volume methods and boundary conditions for geophysical flows ⋮ The 2d nonlinear fully hyperbolic inviscid shallow water equations in a rectangle ⋮ A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry ⋮ Unnamed Item ⋮ An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations ⋮ Generating boundary conditions for a Boussinesq system* ⋮ Galerkin finite element methods for the shallow water equations over variable bottom ⋮ Hyperbolic free boundary problems and applications to wave-structure interactions

Cites Work

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• Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
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• The near-shore behaviour of shallow-water waves with localized initial conditions

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