Euler-Poincare' variational principles and applications to fluid dynamics

Teacher: prof. Cesare Tronci (University of Surrey, UK)

Abstract

Starting from Poincare's original work from 1901, this lecture series offers a brief overview of the reduction by symmetry for Hamilton's variational principle on Lie groups. After considering the simple case of a free rigid body, different types of examples will be covered before focusing on fluid dynamics. Eventually, the last lectures present a brief introduction to the application of these methods to the dynamics of nematic liquid crystals, in both ideal and dissipative cases.

Schedule

Monday 30th, Room G  09:30-11:30
Tuesday 31st, Room G  08:30-10:30
Wednesday 1st, Room G  08:30-10:30

For any requests please contact  the organizer (nicola.sansonetto@univr.it)

The course will be provided IN PRESENCE and streaming via zoom at the zoomlink of the class of Analytical Mechanics