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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.aviRecording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-PierreEmmanuelJabin-Mar-04-2014.mp4Pdf File: JabinPE.pdfDate: Tuesday, March 4, 2014Time: 1:30 pmLocation: Wean Hall 7218Submitted by: David Kinderlehrer |