BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ian Tice (Carnegie Mellon University) DTSTART:20210513T130000Z DTEND:20210513T135000Z DTSTAMP:20260423T052503Z UID:IMS/80 DESCRIPTION:Title: Tra veling wave solutions to the free boundary Navier-Stokes equations\nby Ian Tice (Carnegie Mellon University) as part of PDE seminar via Zoom\n\n \nAbstract\nConsider a layer of viscous incompressible fluid bounded below by a flat rigid boundary and above by a moving boundary. The fluid is sub ject to gravity\, surface tension\, and an external stress that is station ary when viewed in a coordinate system moving at a constant velocity paral lel to the lower boundary. The latter can model\, for instance\, a tube bl owing air on the fluid while translating across the surface. In this talk we will detail the construction of traveling wave solutions to this proble m\, which are themselves stationary in the same translating coordinate sys tem. While such traveling wave solutions to the Euler equations are well-k nown\, to the best of our knowledge this is the first construction of such solutions with viscosity. This is joint work with Giovanni Leoni.\n\nhttp s://nguyenquochung1241.wixsite.com/qhung/post/pde-seminar-via-zoom\n LOCATION:https://researchseminars.org/talk/IMS/80/ END:VEVENT END:VCALENDAR