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SUMMARY:K. Druzhkov (University of Saskatchewan\, Saskatoon\, Canada)
DTSTART:20251106T123000Z
DTEND:20251106T133000Z
DTSTAMP:20260423T005829Z
UID:mmandim/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/100/
 ">General mechanism of invariant reduction and Noether's theorem</a>\nby K
 . Druzhkov (University of Saskatchewan\, Saskatoon\, Canada) as part of Ma
 thematical models and integration methods\n\n\nAbstract\nGiven a local (po
 int\, contact\, or higher) symmetry of a system of partial differential eq
 uations\, one can consider the system that describes the invariant solutio
 ns (the invariant system). It seems natural to expect that the invariant s
 ystem inherits symmetry-invariant geometric structures in a specific way. 
 We propose a mechanism of reduction of symmetry-invariant geometric struct
 ures\, which relates them to their counterparts on the respective invarian
 t systems. This mechanism covers conservation laws\, the stationary action
  principle\, presymplectic structures\, and more. In particular\, a versio
 n of Noether's theorem naturally arises for systems that describe invarian
 t solutions.\n\nThis is joint work with A. Cheviakov.\n
LOCATION:https://researchseminars.org/talk/mmandim/100/
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