a1 Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, Italy email: email@example.com
a2 School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK email: firstname.lastname@example.org
We present an asymptotic theory that includes in a perturbative expansion the coupling effects between the director dynamics and the velocity field in a nematic liquid crystal. Backflow effects are most significant in the presence of defect motion, since in this case the presence of a velocity field may strongly reduce the total energy dissipation and thus increase the defect velocity. As an example, we illustrate how backflow influences the speeds of opposite-charged defects.
(Received November 18 2010)
(Revised November 23 2010)
(Accepted November 30 2010)
(Online publication January 05 2011)