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CNA Seminar
Pierre-Emmanuel Jabin
University of Maryland
Title: Regularity estimates for transport equations through "dual norms"

Abstract: e present a new theory for well posedness of transport equations with rough velocity fields. The theory is based on critical regularity estimates on the solution; those estimates are obtained for norms that are defined through a solution to the dual equation. This new theory is applied to compressible fluid mechanics and other related models (inspired by biology) and allows to relax some strong assumptions on the pressure term, in particular monotonicity.

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-PierreEmmanuelJabin-Mar-04-2014.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-PierreEmmanuelJabin-Mar-04-2014.mp4
Pdf File: JabinPE.pdf
Date: Tuesday, March 4, 2014
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer