On the Number of Conserved Quantities for the Two-Layer Shallow-Water Equations

DOI10.1111/1467-9590.00166zbMath1152.76349OpenAlexW2060516029MaRDI QIDQ4784723

Patrick J. Montgomery, T. Bryant Moodie

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00166

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Stratification effects in inviscid fluids (76B70)

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Self‐contained two‐layer shallow‐water theory of strong internal bores ⋮ Hydraulic jumps in two-layer flow with a free surface ⋮ Multi-dimensional shear shallow water flows: problems and solutions ⋮ Hamiltonian aspects of three-layer stratified fluids ⋮ On Multi-component Ermakov Systems in a Two-Layer Fluid: Integrable Hamiltonian Structures and Exact Vortex Solutions ⋮ CONSERVATION LAWS FOR ONE-DIMENSIONAL SHALLOW WATER MODELS FOR ONE AND TWO-LAYER FLOWS ⋮ Existence and properties of ageostrophic modons and coherent tripoles in the two-layer rotating shallow water model on the -plane ⋮ Gravity currents

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