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05/05/2011, 16:30 — 17:30 — Amphitheatre Pa1, Mathematics Building
, École Polytechnique Fédérale de Lausanne

The geometry of the equations of motion in continuum mechanics

I plan to link the basic equations appearing in rigid body dynamics, fluid mechanics, elasticity, and liquid crystals to reduction theory of Lagrangian systems with symmetry. One of the goals is to compare the equations appearing in the spatial and convective representations. A second goal is to show how this geometric approach leads to answers to some basic questions appearing in continuum mechanics. For example, it will be shown how to relate the Ericksen-Leslie director theory to the Eringen micropolar approach to the equations of motion for liquid crystals, a problem that has been open for the past thirty years.
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The Mathematics Colloquium is a series of monthly talks organized by the Department of Mathematics of IST, aiming to be a forum for the presentation of mathematical ideas or ideas about Mathematics. The Colloquium welcomes the participation of faculty, researchers and undergraduate or graduate students, of IST or other institutions, and is seen as an opportunity of bringing together and fostering the building up of ideas in an informal atmosphere.


Organizers: Conceição Amado, Lina Oliveira e Maria João Borges.