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A confinement result on a quasi-geostrophic flow in thef-plane

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Abstract

We study the behavior of a quasi-geostrophic flow in thef-plane. We consider a positive initial potential vorticity with a compact support and we bound the growth in time of its support. We prove also that a fluid particle cannot go fast away from the initial position.

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Marchioro, C. A confinement result on a quasi-geostrophic flow in thef-plane. Z. angew. Math. Phys. 47, 16–27 (1996). https://doi.org/10.1007/BF00917571

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  • DOI: https://doi.org/10.1007/BF00917571

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