Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System
DOI10.1137/17M1130101zbMath1392.35221arXiv1701.02576MaRDI QIDQ4640167
Bin Cheng, Chunjing Xie, Peng Qu
Publication date: 16 May 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02576
Klein-Gordon equationglobal existenceRiemann invariantsrotating shallow water systemformation of singularity
Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) First-order hyperbolic systems (35L40) PDEs in connection with geophysics (35Q86) Second-order quasilinear hyperbolic equations (35L72) Classical solutions to PDEs (35A09)
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