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SUMMARY:Lucio Galeati (EPFL)
DTSTART:20230419T213000Z
DTEND:20230419T223000Z
DTSTAMP:20260411T105003Z
UID:EarlyCareer/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EarlyCareer/
 23/">Regularisation by transport noise for 2D fluid dynamics equations</a>
 \nby Lucio Galeati (EPFL) as part of Early Career Math Colloquium\n\n\nAbs
 tract\nA major open problem in fluid dynamics is to understand whether sol
 utions to 2D incompressible Euler equations with $L^p$-valued vorticity ar
 e unique\, for some $p\\in [1\,\\infty)$. A related question\, more probab
 ilistic in flavour\, is whether one can find a physically meaningful noise
  restoring well-posedness of the PDE.\nIn this talk I will present some re
 cent advances on the latter problem\, for a class of slightly regularised 
 2D Euler-type equations (specifically\, logEuler and hypodissipative Navie
 r-Stokes)\, in the presence of a rough Kraichnan-type noise\, modelling th
 e small scales of a turbulent fluid\; uniqueness in law can then be shown 
 for solutions with $L^2$-valued vorticity.\nBased on an ongoing joint work
  with Dejun Luo (Beijing).\n
LOCATION:https://researchseminars.org/talk/EarlyCareer/23/
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