| | Mixed baroclinic-barotropic instability |
 | | Killworth (1980) performed linear stability analysis of assumed profiles with both two-layer and continuous stratification and found the mixed instability is described by three non-dimensional parameters: the ratio of the horizontal length scale of the shear to the internal deformation radius, the ratio of layer depths, and |
 | | In the simplest case, the energy is drawn from the available potential energy of the heavy upwelled fluid (baroclinic instability) and from the kinetic energy of the mean flow (barotropic instability). |
 | | The equations employed here to study frontal instability are the inviscid shallow-water equations [Barth, 1989a] since the quasi-geostrophic equations do not allow large interface displacements, strong shears or large slopes of the bottom surface. |
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