BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marco Bravin (BCAM Bilbao) DTSTART:20201109T144000Z DTEND:20201109T161000Z DTSTAMP:20260405T174527Z UID:NSCM/6 DESCRIPTION:Title: On some properties for an incompressible\, non-viscous in-out flow in a 2D do main\nby Marco Bravin (BCAM Bilbao) as part of Nečas Seminar on Conti nuum Mechanics\n\n\nAbstract\nIn this talk I will present some recent resu lts on some properties of an in-out flow\nassociated with a perfect two di mensional fluid. In particular I present existence of\nsolutions in differ ent classes of regularity and I will conclude with the study of the\nasymp totic limit of some shrinking sources and sinks. This work is motivated by a\nquestion left open by Judovic in [2].\nThe system consists of an Euler type system in a bounded domain with some holes\nwhere non-homogeneous bo undary conditions are prescribed. I will present how to extend some classi cal existence results in this setting and then I will consider the case\nw hen the holes shrink to points. The boundary conditions lead to the creati on of some\npoint sources and sinks associated with some vortex points in the limit. Similar type of\nsystems have been already study by Chemetov an d Starovoitov in [1]\, where a different\napproximation approach was consi dered.\n\nReferences\n\n[1] Chemetov\, N. V.\, Starovoitov\, V. N. (2002). On a Motion of a Perfect Fluid in a Domain with Sources and Sinks. Journa l of Mathematical Fluid Mechanics\, 4(2)\, 128–144.\n\n[2] Judovic\, V. I. (1964). A two-dimensional non-stationary problem on the flow of an\nide al incompressible fluid through a given region. (Russian) Mat. Sb. (N.S.) 64 (106)\n562–588\n LOCATION:https://researchseminars.org/talk/NSCM/6/ END:VEVENT END:VCALENDAR