Examples of dispersive effects in non-viscous rotating fluids
نویسندگان
چکیده
منابع مشابه
Transport in Viscous Rotating Fluids
We consider a uniformly rotating viscous incompressible fluid and estimate particle transport in the vertical direction (parallel to the rotation axis). We prove that for short time and regular initial data, strong rotation suppresses the vertical gradient of flow maps. The proof uses a diffusive Lagrangian formalism, and the suppression of the vertical gradient is a natural and direct byproduc...
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We consider uniformly rotating incompressible Euler and NavierStokes equations. We study the suppression of vertical gradients of Lagrangian displacement (”vertical” refers to the direction of the rotation axis). We employ a formalism that relates the total vorticity to the gradient of the back-to-labels map (the inverse Lagrangian map, for inviscid flows, a diffusive analogue for viscous flows...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2005
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2004.09.007