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SUMMARY:Maxim Pavlov (Lebedev Physical Institute RAS\, Moscow)
DTSTART:20211028T110000Z
DTEND:20211028T120000Z
DTSTAMP:20260423T005822Z
UID:mmandim/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/28/"
 >Non-diagonalisable Hydrodynamic Type Systems\, Integrable by Tsarev's Gen
 eralised Hodograph Method</a>\nby Maxim Pavlov (Lebedev Physical Institute
  RAS\, Moscow) as part of Mathematical models and integration methods\n\n\
 nAbstract\nWe present a wide class of non-diagonalizable hydrodynamic type
  systems\, which can be integrated by Tsarev's generalized hodograph metho
 d. This class of hydrodynamic type systems contains Jordan blocks 2x2 only
 . The Haantjes tensor has vanished. This means such 2N component hydrodyna
 mic type systems possess N Riemann invariants and N double eigenvalues onl
 y.\n\nFirst multi-component example was extracted from El's nonlocal kinet
 ic equation\, describing dense soliton gas. All conservation laws and comm
 uting flows were found. A general solution is constructed.\n
LOCATION:https://researchseminars.org/talk/mmandim/28/
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