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SUMMARY:Pierandrea Vergallo (University of Salento)
DTSTART:20201111T162000Z
DTEND:20201111T180000Z
DTSTAMP:20260423T024832Z
UID:GDEq/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/18/">Hy
 drodynamic-type systems and homogeneous Hamiltonian operators: a necessary
  condition of compatibility</a>\nby Pierandrea Vergallo (University of Sal
 ento) as part of Geometry of differential equations seminar\n\n\nAbstract\
 nUsing the theory of coverings\, it is presented a necessary condition to 
 write a hydrodynamic-type system in Hamiltonian formulation. Explicit cond
 itions for first\, second and third order homogeneous Hamiltonian operator
 s are shown. In particular\, an alternative proof of Tsarev's theorem abou
 t compatibility conditions for first order operators  is obtained by using
  this method.\n\nThen\, analogous conditions are presented for non local h
 omogeneous Hamiltonian operators of first and third order.\n\nFinally\, it
  is discussed the projective invariance for second and third order operato
 rs.\n\nThe talk is based on a joint work with Raffaele Vitolo.\n
LOCATION:https://researchseminars.org/talk/GDEq/18/
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