Francois Gay-Balmaz

There are two competing descriptions of nematic liquid crystaldynamics: the Ericksen-Leslie director theory and the Eringenmicropolar approach. Up to this day, these two descriptions haveremained distinct in spite of several attempts to show that...

Recently, a new approach for the numerical discretization of the Euler equations of an ideal fluid has been developed. It is based on a spatial discretization of the group of volume preserving diffeomorphisms of the fluid's domain by means of a Lie...

Motivated partly by previous work on the zero curvature representation (ZCR) of completely integrable chiral models and partly by the underlying Hamiltonian structures of ideal complex fluids, we derive systems of partial differential equations...