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arXiv · 1604.00907

A new approach to bounds on mixing

Flavien Léger
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Abstract

We consider mixing by incompressible flows. In 2003, Bressan stated a conjecture concerning a bound on the mixing achieved by the flow in terms of an $L^1$ norm of the velocity field. Existing results in the literature use an $L^p$ norm with $p>1$. In this paper we introduce a new approach to prove such results. It recovers most of the existing results and offers new perpective on the problem. Our approach makes use of a recent harmonic analysis estimate from Seeger, Smart and Street.

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Flavien Léger. 2016-04-04. A new approach to bounds on mixing. https://arxiv.org/abs/1604.00907

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