BEGIN:VCALENDAR
PRODID:-//eluceo/ical//2.0/EN
VERSION:2.0
CALSCALE:GREGORIAN
BEGIN:VEVENT
UID:977256cadfa93fa56085039b2468ec36
DTSTAMP:20260513T191236Z
SUMMARY:Junior Analysis Seminar –  Giulia Mescolini (EPFL)
DESCRIPTION:Title\nVanishing viscosity non-unique solutions to the forced 2
 D Euler Equations\nAbstract\n\nIn the last decades\, different techniques 
 were developed to prove results around the topic of (non-)uniqueness of fl
 uid dynamical PDEs. It is then an important question to understand if ther
 e is a selection principle for these equations\, namely if such non-unique
  solutions can also be obtained in the limit of regularised problems (in w
 hich\, for instance\, a dissipative term is introduced: the vanishing visc
 osity limit). Remarkably\, in the context of conservation laws\, selection
  happens.\nIn a joint work with Dallas Albritton and Maria Colombo\, we ad
 dress this issue in the context of the forced 2D Euler equations\, for whi
 ch Vishik (2018) recently constructed non-unique solutions. We prove that 
 the unique Leray solutions to the 2D Navier-Stokes system\, forced with Vi
 shik’s force and starting from a perturbation of Vishik’s initial datu
 m\, converge to a one-parameter family of solutions when we take the doubl
 e limit of vanishing viscosity and perturbation size. \nFor the latter\, 
 we discover a uniqueness threshold below which the vanishing viscosity sol
 ution is unique and radial\, and at which the viscous solutions converge t
 o non-unique\, non-radial solutions.\n\nPlease note that the seminar will 
 take place in person in room 341 of Huxley Building.\n\nClick here to get 
 to the Junior Analysis Seminar webpage.
URL:https://www.imperial.ac.uk/events/199850/junior-analysis-seminar-giulia
 -mescolini-epfl/
DTSTART;TZID=Europe/London:20251121T140000
DTEND;TZID=Europe/London:20251121T150000
LOCATION:341\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:STANDARD
DTSTART:20251121T140000
TZNAME:GMT
TZOFFSETTO:+0000
TZOFFSETFROM:+0000
END:STANDARD
END:VTIMEZONE
END:VCALENDAR