Ter­min

Ober­se­mi­nar "Geo­me­tri­sche Ana­ly­sis und Zah­len­the­o­rie": Ali Su­ri (Uni­ver­si­tät Pa­der­born) -- hy­brid

Veranstalter: D 1 320

Title: Curvature and stability of quasi-geostrophic motion

Abstract: In this talk, first we restate the necessary background about quantomorphism group and central extension of the corresponding Lie algebra. Then we derive the quasi-geostrophic equation as an Euler-Arnold equation of the L^2 metric on this central extension. Afterwards, using the Lie algebra structure constants, we study the curvature and its impact on the stability of geodesics which are solutions of the quasi-geostrophic equation.