BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Charles Collot (CY Universite) DTSTART:20210409T140000Z DTEND:20210409T150000Z DTSTAMP:20260423T021051Z UID:OpenPDEA/7 DESCRIPTION:Title: Singularities\, separation\, and generic self-similar behaviour for the i nviscid unsteady Prandtl boundary layer\nby Charles Collot (CY Univers ite) as part of Open PDE and analysis seminar and lectures\n\n\nAbstract\n The inviscid unsteady Prandtl system in two dimensions describes an incomp ressible non viscous fluid close to a boundary. First\, we will prove that the boundary layer separates off the wall if and only if the solution bec omes singular away from it. Second\, we will present a method to find expl icitly backward self-similar solutions forming finite time singularities. Finally\, we will show that one of such self-similar solution is the attra ctor for singular solutions near blow-up time\, in a generic sense (for a dense an open set). This explains the generic appearance of the so-called Van Dommelen and Shen singularity\, and describes completely and rigorousl y the associated separating structure. The talk will combine ideas for tra nsport equations\, such as Lagrangian coordinates and incompressibility\, and for singularity formation\, such as self-similarity and renormalisatio n. This is joint work with T.-E. Ghoul and N. Masmoudi.\n LOCATION:https://researchseminars.org/talk/OpenPDEA/7/ END:VEVENT END:VCALENDAR