Wave patterns for shallow water equations

DOI10.1090/S0033-569X-05-00939-6zbMath1082.76050OpenAlexW1968909492MaRDI QIDQ5700376

Huey-Er Lin, Chiu-Ya Lan

Publication date: 28 October 2005

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-05-00939-6

zbMATH Keywords

conservation lawsnonlinear stabilityshock wavestransonic flow

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Cites Work

• A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
• Nonlinear resonance for quasilinear hyperbolic equation
• Central-Upwind Schemes for the Saint-Venant System
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
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