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Advection passive par des champs de vitesse stochastiques.

Abstract : The principal aim of this thesis is to study various aspects of the evolution of some scalar or vector field, advected by a velocity field who's statistics is given independently of the advected field. As a byproduct, we also come to study integral curves of the velocity field, known as Lagrangian trajectories. After a synthetic introduction, several models and problems are approached. Our main model -- named after R. H. Kraichnan -- uses velocity fields that are Gaussian delta-correlated in time. The cases, where the spatial structure of the velocity field is either smooth or is a (multidimensional) fractional Brownian motion, are studied. A model of time correlated velocity field is also considered. Among problems studied, one finds the anisotropic sector of the advected quantity, emergence of spatial intermittency, and taking different limits of the velocity field statistics.
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Submitted on : Wednesday, July 21, 2010 - 10:07:39 AM
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  • HAL Id : pastel-00000712, version 1



Peter Horvai. Advection passive par des champs de vitesse stochastiques.. Physique [physics]. Ecole Polytechnique X, 2004. Français. ⟨pastel-00000712⟩



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