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Slow Convergence to Vortex Patches in Quasigeostrophic Balance

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Abstract.

Taking advantage of dispersive effects – which supposes a flow extended in the whole space – a sluggish convergence of the solutions of the Boussinesq equations to a solution of the quasigeostrophic system, when the Rossby number tends to zero, can be proved under weaker assumptions on the initial data than usual. In particular, no assumption of well-preparedness is needed.Two examples are given, both involving fields with striated potential vorticity. A result of convergence to a vortex patch is deduced from one of them.

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  1. Université Libre de Bruxelles, Analyse Mathématique, CP 214, Boulevard du Triomphe, 1050, Bruxelles, Belgium

    Alexandre Dutrifoy

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Dutrifoy, A. Slow Convergence to Vortex Patches in Quasigeostrophic Balance. Arch. Rational Mech. Anal. 171, 417–449 (2004). https://doi.org/10.1007/s00205-003-0295-0

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