BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vladislav Zhvick DTSTART:20210317T162000Z DTEND:20210317T180000Z DTSTAMP:20260423T024833Z UID:GDEq/31 DESCRIPTION:Title: No nlocal conservation law in a submerged jet\nby Vladislav Zhvick as par t of Geometry of differential equations seminar\n\nLecture held in room 30 3 of the Independent University of Moscow.\n\nAbstract\nLandau was the fir st to obtain the exact solution of Navier-Stokes equations for an axisymme tric submerged jet generated by a point momentum source. The Landau jet is the main term of a coordinate expansion of the flow far field in the case when the flow is generated by a finite size source (for example\, a tube with flow). The next term of the expansion was calculated by Rumer. This t erm has an indefinite coefficient. To determine this coefficient we need a conservation law connecting the jet far field with the source. Well-known conservation laws of mass\, momentum\, and angular momentum fail to calcu late the coefficient. In my talk\, I will solve this problem for low visco sity. In this case\, the flow satisfies the boundary layer equations that possess a nonlocal conservation law closing the problem. The problem for a n arbitrary viscosity remains open.\n LOCATION:https://researchseminars.org/talk/GDEq/31/ END:VEVENT END:VCALENDAR