Preprint 2003-014

Lemma and a Conjecture on the Cost of Rearrangements

Alberto Bressan

Abstract: We discuss a conjecture on the total variation of a vector field whose flow separates two sets which are initiallty tightly mixed. A proof of a similar result is given, in one space dimension. The conjecture is relevant to the compactness of nearly incompressible flows.

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Alberto Bressan, <>
Publishing information:
To appear on: Rendiconti del Seminario matematico, Universita' di Padova.
Submitted by:
<> February 12 2003.

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