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SUMMARY:The effects of transport noise on PDEs - Flandoli\, F (University 
 of Pisa)
DTSTART:20120912T080000Z
DTEND:20120912T085000Z
UID:TALK39693@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Several examples of PDEs are investigated under the influence 
 of a bilinear multiplicative noise of transport type. The examples include
  linear models (transport equations\, systems related to inviscid vorticit
 y equations\, systems of parabolic equations) and nonlinear ones (2D point
  vortex dynamics\, 1D Vlasov-Poisson point charge dynamics\, aggregation m
 odels\, nonlinear parabolic models). The main questions addressed are uniq
 ueness and no-blow-up due to noise - when the deterministic equations may 
 lack uniqueness or have blow-up. This relatively wide variety of examples 
 allows to make a first list of intuitive and rigorous reasons why noise ma
 y be an obstruction to the emergence of pathologies in PDEs.\n
LOCATION:Seminar Room 1\, Newton Institute
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