Sub-inertial dynamics of density-driven flows in a continuously stratified fluid on a sloping bottom. I. Model derivation and stability characteristics

DOI10.1098/RSPA.1999.0404zbMath0943.76017OpenAlexW2015133557MaRDI QIDQ4262193

Gordon E. Swaters, Francis J. Poulin

Publication date: 5 September 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0404

zbMATH Keywords

variational principlefrontslinear stability problemshallow-water theorysub-inertial baroclinic dynamicstopographic vorticity gradientvariable bottom topographyparallel shear flowphysical oceanography\(f\)-planecontinuously stratified fluidnon-canonical Hamiltonian formulationsemicircle theoremtopographic Rossby wavesbottom-intensified density-driven flowsBoussinesq adiabatic equationsnormal-mode instability problemvortex-tube stretching/compression

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Stability and instability of geophysical and astrophysical flows (76E20) Stratification effects in inviscid fluids (76B70)

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