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.



Paper:
Available as PostScript (168 Kbytes) or gzipped PostScript (64 Kbytes; uncompress using gunzip).
Author(s):
Alberto Bressan, <bressan@sissa.it>
Publishing information:
To appear on: Rendiconti del Seminario matematico, Universita' di Padova.
Comments:
Submitted by:
<bressan@sissa.it> February 12 2003.


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