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SUMMARY:Kelvin's theorem and Hamilton-Jacobi fluid theory in gravitational
  wave astrophysics - Charalampos Markakis (University of Cambridge)
DTSTART:20190215T130000Z
DTEND:20190215T140000Z
UID:TALK115744@talks.cam.ac.uk
CONTACT:Nathan Johnson-McDaniel
DESCRIPTION:The motion of strongly gravitating fluid bodies is described b
 y the Euler-Einstein system of partial differential equations. Centuries a
 fter their advent\, the solution to these equations remains mathematically
  and computationally difficult\, and the break-down of well-posedness on t
 he boundary interface between fluid and vacuum remains a challenging open 
 problem. The problem manifests itself in numerical simulations of binary n
 eutron-star inspiral. This talk focuses on formulating and implementing we
 ll-posed\, acoustical and canonical hydrodynamic schemes\, suitable for in
 spiral simulations and gravitational-wave source modelling. The scheme use
 s a variational principle by Carter-Lichnerowicz stating that barotropic f
 luid motions are conformally geodesic\, a corollary to Kelvin's theorem st
 ating that initially irrotational flows remain irrotational\, and Christod
 oulou's acoustic metric approach adopted to numerical relativity\, in orde
 r to evolve the canonical momentum of a fluid element via Hamilton's equat
 ions. These mathematical theorems leave their fingerprints on inspiral wav
 eforms from binary neutron stars observed by the LIGO and Virgo detectors.
LOCATION:Pavilion B Potter Room (B1.19)
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