BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Edriss Titi (University of Cambridge) DTSTART:20201116T140000Z DTEND:20201116T150000Z DTSTAMP:20260423T052807Z UID:SNPDEA/11 DESCRIPTION:Title: The Inviscid Primitive Equations and the Effect of Rotation\nby Edriss Titi (University of Cambridge) as part of "Partial Differential Equations and Applications" Webinar\n\n\nAbstract\nLarge scale dynamics of the ocea ns and the atmosphere is governed by the primitive equations (PEs). It is well-known that the three-dimensional viscous primitive equations are glob ally well-posed in Sobolev spaces. In this talk\, I will discuss the ill-p osedness in Sobolev spaces\, the local well-posedness in the space of anal ytic functions\, and the finite-time blowup of solutions to the three-dime nsional inviscid PEs with rotation (Coriolis force). Eventually\, I will a lso show\, in the case of ``well-prepared" analytic initial data\, the reg ularizing effect of the Coriolis force by providing a lower bound for the life-span of the solutions which grows toward infinity with the rotation r ate. The latter is achieved by a delicate analysis of a simple limit reson ant system whose solution approximate the corresponding solution of the 3D inviscid PEs with the same initial data.\n LOCATION:https://researchseminars.org/talk/SNPDEA/11/ END:VEVENT END:VCALENDAR