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Seminari de geometria diferencial

Seminari a càrrec d'Oğul Esen (Gebze Technical University) sobre Matched pair of Hamiltonian and Lagrangian dynamics.

26/07/2017 de 12:45 a 13:45
FME (UPC), Room S01


In this talk, equations governing the motion of two mutually interacting systems (whose configuration spaces are Lie groups) will be presented both in the Lagrangian formalism and the Hamiltonian formalism. This theory is called the dynamics of matched pairs. Under the presence of the symmetry, the matched Euler--Poincaré equations and the matched Lie--Poisson equations will be derived. Two concrete examples will be provided. The first one is in finite dimension, namely the matched pair dynamics on SL(2,C). The second one is in infinite dimension, coupling of hydrodynamics with electromagnetic field.

Mes informació a: https://sites.google.com/site/seminariteendegeometria/home/matchedpairofhamiltonianandlagrangiandynamics

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