Crisciani F., Badin G. A note on the full non-linear stability of inviscid, planar flows with constant relative vorticity. In: Nuovo Cimento Della Societa Italiana Di Fisica C-Geophysics and Space Physics, vol. 30 (4) pp. 337 - 345. Società Italiana Fisica, 2007. |

Abstract (English) |
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. | |

DOI: | 10.1393/ncc/i2007-10250-x | |

Subject | Non-linear stability |

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