On the classical solutions of two dimensional inviscid rotating shallow water system

DOI10.1016/j.jde.2010.09.017zbMath1213.35292arXiv0906.4797OpenAlexW2057076332MaRDI QIDQ619865

Chunjing Xie, Bin Cheng

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4797

zbMATH Keywords

Klein-Gordon equationglobal existenceclassical solutionrotating shallow water systemSmall initial statesymmetric quasilinear Klein-Gordon equationssymmetric system of hyperbolic PDEzero initial velocity

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Existence of Global Classical Solutions for the Saint-Venant Equations ⋮ Non-uniqueness of admissible weak solutions to compressible Euler systems with source terms ⋮ Global smooth solutions to the two dimensional compressible Euler equations with the rotational Coriolis forcing ⋮ Singularity for the one-dimensional rotating Euler equations of Chaplygin gases ⋮ An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations ⋮ Unnamed Item ⋮ Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System ⋮ Formation of singularity for the classical solutions of the rotating shallow water system

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