The non-linear stability of inviscid, planar flows with constant relative vorticity is proved in the context of the quasi-geostrophic shallow-water theory, for simply connected fluid domains of arbitrary shape. First, the result is obtained relative to the enstrophy and kinetic energy norms and, then, it is extended to a generalised energy norm which is expressed through the former.
A note on the full non-linear stability of inviscid, planar flows with constant relative vorticity
Crisciani F;
2007
Abstract
The non-linear stability of inviscid, planar flows with constant relative vorticity is proved in the context of the quasi-geostrophic shallow-water theory, for simply connected fluid domains of arbitrary shape. First, the result is obtained relative to the enstrophy and kinetic energy norms and, then, it is extended to a generalised energy norm which is expressed through the former.File in questo prodotto:
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