The nonlinear 2D subcritical inviscid shallow water equations with periodicity in one direction

DOI10.3934/cpaa.2014.13.2005zbMath1310.76015OpenAlexW2315142751MaRDI QIDQ479339

Aimin Huang, Roger M. Temam

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2005

zbMATH Keywords

shallow water equationsexistence and uniquenesshyperbolic equations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic equations on manifolds (58J45) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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 ⋮ 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 ⋮ Boundary layers for the subcritical modes of the 3D primitive equations in a cube

Cites Work

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