The 2d nonlinear fully hyperbolic inviscid shallow water equations in a rectangle

DOI10.1007/s10884-015-9507-1zbMath1344.35102arXiv1503.00283OpenAlexW2762146174MaRDI QIDQ282367

Aimin Huang, Roger M. Temam, Madalina Petcu

Publication date: 12 May 2016

Published in: Journal of Dynamics and Differential Equations, Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00283

zbMATH Keywords

shallow water equationsinviscid flowhyperbolic equationsinitial and boundary value probleminitial and boundary value problemsnon-smooth domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Systems of nonlinear higher-order PDEs (35G50)

Related Items

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 ⋮ Boundary layers for the 3D primitive equations in a cube: the supercritical modes ⋮ An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations ⋮ Mathematical analysis of the Jin-Neelin model of El Niño-Southern-Oscillation ⋮ The linearized 2D inviscid shallow water equations in a rectangle: boundary conditions and well-posedness ⋮ The nonlinear 2D subcritical inviscid shallow water equations with periodicity in one direction ⋮ Boundary layers for the subcritical modes of the 3D primitive equations in a cube

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