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SUMMARY:Hydrodynamization and asymptotics: the early to late times in rela
 tivistic hydrodynamics - Daniel Hasenbichler (University of Southampton)
DTSTART:20220916T103000Z
DTEND:20220916T113000Z
UID:TALK178151@talks.cam.ac.uk
DESCRIPTION:I discuss how to use exponential asymptotics to match the late
  time temperature evolution of an expanding\, conformally invariant fluid 
 to its early time behaviour. The rich divergent transseries asymptotics at
  late times can be used to interpolate between the two regimes with expone
 ntial accuracy using the well-established methods of hyperasymptotics\, Bo
 rel resummation and transasymptotics. This approach is generic and can be 
 applied to any interpolation problem involving a local asymptotic transser
 ies expansion as well as knowledge of the solution in a second region away
  from the expansion point. Moreover\, I present global analytical properti
 es of the solutions such as analytic approximations to the locations of th
 e square-root branch points\, exemplifying how the summed transseries cont
 ains within itself information about the observable in regions with differ
 ent asymptotics.\n(joint work with I. Aniceto and A. Olde Daalhuis)
LOCATION:No Room Required
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