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SUMMARY:Anna Duyunova
DTSTART:20260225T162000Z
DTEND:20260225T180000Z
DTSTAMP:20260423T024754Z
UID:GDEq/152
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/152/">D
 ifferential invariants and quotient of the Euler equations on a sphere</a>
 \nby Anna Duyunova as part of Geometry of differential equations seminar\n
 \nLecture held in room 303 of the Independent University of Moscow.\n\nAbs
 tract\nWe consider the Euler system on a sphere written in stereographic c
 oordinates. Since the system is underdetermined we consider flow of a medi
 um taking into account thermodynamic equations of state.\n\nLie algebras o
 f symmetries of the Euler system are found and we give their classificatio
 n depending on possible equations of state. Among these Lie algebras there
  is one that preserves any thermodynamic equation. Such symmetries and the
  corresponding rational differential invariants we call kinematic. The fie
 ld of kinematic differential invariants is described: basis differential i
 nvariants as well as invariant derivations are found. Then we find relatio
 ns (syzygies) between the second-order invariants\, from which we find a q
 uotient equation for the Euler system on a sphere.\n\nJoint work with Vale
 ntin Lychagin and Sergey Tychkov.\n\nPlease download the formula file <a h
 ref="https://gdeq.org/files/di.pdf" title="di.pdf">di.pdf</a> and keep it 
 handy during the talk so that the speaker can refer to it.\n
LOCATION:https://researchseminars.org/talk/GDEq/152/
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