Wednesday, May 3, Lori Student Center, Room 228, 5:10pm

Finished and unfinished business in a Ginzburg Landau study of convection in nematic liquid crystals

Gerhard Dangelmayr
Department of Mathematics
Colorado State University

When an anisotropic spatiotemporal system with two unbounded space directions undergoes a Hopf bifurcation, the critical wave numbers are, in contrast to isotropic systems, isolated. For group velocity of order one (the generic case), the underlying envelope description then involves a system of complex Ginzburg Landau equations with global coupling terms that describe nonlinear wave interactions on average. Work in progress towards the computation of the relevant terms in the Ginzburg Landau system for the weak electrolyte model for convection in nematic liquid crystals is described.
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Gerhard Dangelmayr at