BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre Raphael (University of Cambridge) DTSTART:20200507T130000Z DTEND:20200507T135000Z DTSTAMP:20260423T035633Z UID:IMS/10 DESCRIPTION:Title: On blow up for the defocusing NLS and three dimensional viscous compressible fluids\nby Pierre Raphael (University of Cambridge) as part of PDE sem inar via Zoom\n\n\nAbstract\nGlobal existence and scattering for the defoc using nonlinear Schrodinger equation is a celebrated result by Ginibre-Vel o in the early 80’s in the strictly energy sub critical case\, and Bourg ain in 94 in the energy critical case. In the energy super critical settin g\, the defocusing energy is conserved and controls the energy norm\, but this is too weak to conclude to global existence which yet had been conjec tured by many and confirmed by numerical computations. This is a canonical super critical problem which typically arises similarily in fluid mechan ics\, and there global existence is either completely open or a direct co nsequence of the existence of additional conservation laws. In this talk b ased on recent joint works with Merle (IHES)\, Rodnianski (Princeton) and Szeftel (Paris Sorbonne)\, I will describe the construction of newsmooth a nd finite energy highly oscillatory blow up solutions for the defocusing NLS in suitable energy super critical regimes\, and explain how these new bubbles are connected to the also new description of implosion mechanisms for viscous three dimensional compressible fluids.\n\nHere is the poster o f this talk: https://www.dropbox.com/s/3pgqawpbjh20g6m/5th%20PDE%20Seminar .pdf?dl=0\n\nPlease visit our website to get more information: \nhttps://n guyenquochung1241.wixsite.com/qhung/post/pde-seminar-via-zoom\n LOCATION:https://researchseminars.org/talk/IMS/10/ END:VEVENT END:VCALENDAR