87 citations · 877 across the 97 of their papers we have counts for
4 papers · 1 filter
Invariant higher-order variational problems II
François Gay-Balmaz, Darryl D. Holm, David M. Meier +2
Motivated by applications in computational anatomy, we consider a second-order problem in the calculus of variations on object manifolds that are acted upon by Lie groups of smooth…
Euler-Poincaré approaches to nematodynamics
François Gay-Balmaz, Tudor S. Ratiu, Cesare Tronci
Nematodynamics is the orientation dynamics of flowless liquid-crystals. We show how Euler-Poincaré reduction produces a unifying framework for various theories, including Ericksen-…
Symplectic bifurcation theory for integrable systems
Alvaro Pelayo, Tudor S. Ratiu, San Vu Ngoc
This paper develops a symplectic bifurcation theory for integrable systems in dimension four. We prove that if an integrable system has no hyperbolic singularities and its bifurcat…
Equivalent theories of liquid crystal dynamics
François Gay-Balmaz, Tudor S. Ratiu, Cesare Tronci
There are two competing descriptions of nematic liquid crystal dynamics: the Ericksen-Leslie director theory and the Eringen micropolar approach. Up to this day, these two descript…