BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Professor Senjo Shimizu (Kyoto University\, Japan) DTSTART:20231202T070000Z DTEND:20231202T083000Z DTSTAMP:20260423T005814Z UID:ITB-MDLS/13 DESCRIPTION:Title: Free boundary problems for the Navier-Stokes equations\nby Professor Senjo Shimizu (Kyoto University\, Japan) as part of ITB Mathematics Disti nguished Lecture Series\n\n\nAbstract\nThe fluid is governed by the Navier -Stokes equations\, which are derived from the laws of \nconservation of m omentum and conservation of mass. \nThe Navier-Stokes equations are nonlin ear partial differential equations \nwhich include the first-order spatial derivative of the velocity vector\, called the advection term. \n\nIn thi s talk\, we will consider free boundary problems are considered \nwhere th e boundary of the fluid changes with time\, such as raindrops or ocean wav es. \nIn particular\, I would like to discuss global in time well-posednes s of the free boundary problem \nin an unbounded domain in the scale-invar iant space. \nOur proof is based on maximal $L^1$-regularity of the corres ponding \nStokes problem in the half-space.\n LOCATION:https://researchseminars.org/talk/ITB-MDLS/13/ END:VEVENT END:VCALENDAR