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SUMMARY:Ryan Murray (North Carolina State University)
DTSTART:20200513T150000Z
DTEND:20200513T160000Z
DTSTAMP:20260423T005841Z
UID:GSMMA/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GSMMA/3/">Vo
 rtices\, instabilities\, and non-uniqueness in incompressible fluids</a>\n
 by Ryan Murray (North Carolina State University) as part of Global Seminar
  on Mathematical Modeling and Applications\n\n\nAbstract\nVortices form im
 portant structures in many fluids problems\, such as the shear layers that
  form behind airplane wings. These structures also strongly influence mode
 lling in turbulent flows. Despite their fundamental importance to fluid dy
 namics\, vortices involve point singularities and are intimately linked wi
 th well known instabilities in fluids\; for these reasons they are challen
 ging to model and analyze mathematically. I will discuss various mathemati
 cal frameworks for describing vortices in the context of the incompressibl
 e Euler equation in two dimensions\, drawing connections to both physical 
 motivation and to outstanding questions in mathematical analysis. I will c
 onclude by discussing recent work with Alberto Bressan\, which studies how
  to rigorously link point vortices with non-uniqueness and unpredictabilit
 y in solutions of Euler's equation.\n\nthe meeting has ended\n
LOCATION:https://researchseminars.org/talk/GSMMA/3/
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