Local Existence of Classical Solutions to Shallow Water Equations with Cauchy Data Containing Vacuum

DOI10.1137/100817887zbMath1387.35487OpenAlexW2077080943MaRDI QIDQ2904717

Zhen Luo, Yuxi Zheng, Ben Duan

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1fd35481d1e910647c13b85fd0f7df4fced9f4fa

zbMATH Keywords

Cauchy problemblow-upclassical solutionviscous compressible rotating shallow water system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Classical solutions to PDEs (35A09)

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