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SUMMARY:Roberto D'Onofrio
DTSTART:20221116T162000Z
DTEND:20221116T180000Z
DTSTAMP:20260423T023054Z
UID:GDEq/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/73/">Mo
 nge-Ampère geometry and semigeostrophic equations</a>\nby Roberto D'Onofr
 io as part of Geometry of differential equations seminar\n\n\nAbstract\nSe
 migeostrophic equations are a central model in geophysical fluid dynamics 
 designed to represent large-scale atmospheric flows. Their remarkable dual
 ity structure allows for a geometric approach through Lychagin's theory of
  Monge-Ampère equations. We extend seminal earlier work on the subject by
  studying the properties of an induced metric on solutions\, understood as
  Lagrangian submanifolds of the phase space. We show the interplay between
  singularities\, elliptic-hyperbolic transitions\, and the metric signatur
 e through a few visual examples.\n
LOCATION:https://researchseminars.org/talk/GDEq/73/
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